SOLVING THE SYSTEM BY ELIMINATION

SOLVING THE SYSTEM BY ELIMINATION

Answers

Answer 1

Answer:

y=4,x=1

pink box- 10x+2y=18

Step-by-step explanation:

(5x+y =9)2

10x-7y=-18

10x+2y=18

10x-7y=-18

9y=36

y=4

x=1

if my answer helps please mark as brainliest.

Answer 2

Answer:

Pink box: 10x+2y=18

Solution: x=1, y=4

Step-by-step explanation:

2(5x+y=9)

  10x-7y=-18

10x+2y=18

10x-7y=-18

9y=36

y=4

5x+y=9

5x+4=9

5x=5

x=1


Related Questions

Pamela is 9 years younger than Jiri and the sum of their ages is 41 what is jiri's age

Answers

Answer:

Jiri is 25 years old.

Step-by-step explanation:

1)Pamela =Jiri-9 ( Pamela is 9 years younger than Jiri)

2)Pamela +Jiri=41

Substitute equation 1 into equation 2

(J-9)+J= 41

2J-9=41

Add 9 to both sides:

2J=41+9

Divide by 2:

2J=50

J=25

the required Jiri's age is 25 years.

Pamela is 9 years younger than Jiri and the sum of their ages is 41. What is Jiri's age is to be determined.

What is arithmetic?

In mathematics, it deals with numbers of operations according to the statements.

Let the age of Pamela and Jiri is x and y respectively
Pamela is 9 years younger than Jiri. so,
y = x + 9   - - - - (1)
the sum of their ages is 41
x +  y = 41  - - - - (2)

From equation 1 put y in equation 2
x + x + 9 = 41
2x + 9 = 41
2x = 41 - 9
2x = 32
x = 32/2
x = 16
Now put this x =16 in equation 1
y = 16 + 9
y = 25

Thus, the required Jiri age is 25 years

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What is the difference of the fractions below? 10x/3-2x/3 2x 13 3 A. 8 B. 8x C. 8x/3 D. 8/3x

Answers

The difference of the fractions is 8x/3. Option C is correct.

Given the fraction is 10x/3-2x/3.

When subtracting fractions with the same denominator, just subtract the numerators of the fractions. To find the difference between equal fractions, we subtract the smaller numerator from the larger numerator.

The given expression is 10x/3-2x/3.

Here the denominator in both the fractions are same so, we will take the LCM, we get

10x/3-2x/3=(10x-2x)/3

Now, we will simplify the numerator by subtracting the smaller term from larger, we get

10x/3-2x/3=8x/3

Hence, the difference of the fractions 10x/3-2x/3 is 8x/3 and the correct option is C.

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Lamonte has 50 m of fencing to build a three-sided fence around a rectangular plot of land that sits on a riverbank. (The fourth side of the enclosure would be the river.) The area of the land is 288 square meters. List each set of possible dimensions (length and width) of the field.

Answers

The dimensions of the length and width are 25 meters and 12. 5 meters respectively.

How to determine the values

Area of a rectangle

area of rectangle = l × w

where

l = length

w = width

Note that,

Perimeter = 2w+ l

50 = 2w + l

l = 50  - 2w

Hence,

area = w(50 - 2w)

288 = 50w - 2w²

-2w² + 50w - 288 = 0

-w² + 25w - 144 = 0

The dimension w can be found as follows;

w = - b / 2a

where

a = -1

b = 25

w = - 25 / 2 ×  -1

w = 12.5 meters

Then, we have that

l = 50  - 2w

Substitute the value of w

l = 50 - 2(12.5)

l = 50 - 25

I = 25 meters

Thus, the dimensions of the length and width are 25 meters and 12. 5 meters respectively.

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3^2x3^3 write on exponential form

Answers

The exponential form of the given information 3^2x3^3 is 3⁵.

What are exponential forms?

The exponential form is a convenient way of expressing or writing repeated multiplication expressions concerning their bases and power.

From the information given, the given expression can be written in exponential form by using the law of indices.

= 3^2x3^3  

[tex]\mathbf{=3^{2+3}}[/tex]

[tex]\mathbf{=3^{5}}[/tex]

Therefore, we can conclude that the exponential form of the given expression is 3⁵.

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can two equilateral triangles always be congrunet ? give resons​

Answers

SOLUTION :

YES as well as NO , two equilateral ∆s can be congruent if any of their side matched to one another,

& CANNOT be congruent if any of their side didn't matched in terms of length (magnitude).

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Evaluate 2a x 3 + b, if a = 5 and b = 1.

Answers

Answer:

31

Step-by-step explanation:

replace the values of a and b in the given term

=2a x 3 + b

2(5) x 3 + (1)

2x5 x 3 + 1

10 x 3 + 1

30 + 1

31

A farmer harvests 70 apples and 98 peaches. They want to make baskets that have both apples and peaches to sell at the market. Each basket should contain the same combinations of fruit. They want to sell all the apples and peaches and as many baskets as possible. they can use the greatest common factor to help them divide up the fruit.

This means the farm can make x baskets of apples and y peaches.​

Answers

Farmer will made 14 basket each of 5 apple and 7 peaches.

what is greatest common factor?

Greatest common factor (GCF) is largest common factor in the given number.

first find common factor of numbers 70 and 98

70 = 2*5*7

98 = 2*7*7

the common factor are 2 and 7

the greatest common factor is 2*7=14

70 apples = 14*5

98 peaches = 14*7

farmer will made 14 basket each of 5 apple and 7 peaches.

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The farmer will make 14 baskets containing each of 5 apples and 7 peaches.

How many baskets can be made which contain both apples and peaches and each basket should contain the same combinations of fruits?

Given:

A farmer harvests 70 apples and 98 peaches.They want to make baskets that have both apples and peaches to sell at the market.Each basket should contain the same combinations of fruit. They want to sell all the apples and peaches and as many baskets as possible.

Find:

How many baskets can the farm make having x apples and y peaches in the baskets?

Solution:

So, for solving this kind of question first we have to find the greatest common factor, we get;

70 = 2*5*7

98 = 2*7*7

the common factor are 2 and 7

the greatest common factor is 2*7=14

70 apples = 14*5

98 peaches = 14*7

So, the farmer will make 14 baskets each of 5 apples and 7 peaches.

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There are 18 apple candies and 12 cherry candies mixed in a bag. If one candy is chosen from that bad, the odds of picking an apple candy are:
A: 1 out of 18
B: 2 out of 5
C: 3 out of 5
D: 3 out of 8

Answers

The answer is 3 out of 5. Why? Well, see below!

There are 18 apple candies and 12 cherry candies mixed in a bag. Since 18 + 12 = 30, there is a total of 30 candies in the bag. The odds of picking an apple candy are 18/30. This fraction can be reduced, however, since both 18 and 30 are even numbers and can be divided by at least 2. In simplest form, this fraction can be reduced by 6.

30 divided by 6 equals 5.
18 divided by 6 equals 3.

Because of this reduction to simplest form, the odds of picking an apple candy are 3/5 (fraction form), three out of 5 (word form), and 60% (percentage form).

Your final answer: C, or 3 out of 5, is your correct answer. If you need help, let me know and I will gladly assist you.

Which statement is true about the function f(x) = 6x7?
The function is even because f(–x) = f(x).
The function is odd because f(–x) = –f(x).
The function is odd because f(–x) = f(x).
The function is even because f(–x) = –f(x).

Answers

Answer: The function is odd because f(–x) = –f(x).

Step-by-step explanation:

[tex]f(x)=6x^7\\\\f(-x)=6(-x)^7 = -6x^7\\\\\therefore f(x)=-f(-x)[/tex]

The function is odd because f(–x) = –f(x).

How to determine the true statement?

The function is given as:

f(x) = 6x^7

A function is odd if the following is true

f(-x) = -f(x)

Calculate f(-x)

f(-x) = 6(-x)^7

f(-x) = -6x^7

Calculate -f(x)

-f(x) = -6x^7

By comparison;

f(-x) = -f(x) = -6x^7

Hence, the function is odd because f(–x) = –f(x).

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Can you guys show me what process you would use for this? I mostly need the process

Answers

The value of the expression for the given values of the variables is 1/9

Evaluating an Expression

From the question, we are to determine the value of the expression for the given values of the variables

The given expression is

[tex](\frac{4x^{3} -2y-2z^{3} }{4y^{2}-16x^{2} }) ^{2}[/tex]

From the given information,

x = 2

y = -5

z = 3

Putting the values of the variables into the expression

[tex](\frac{4(2)^{3} -2(-5)-2(3)^{3} }{4(-5)^{2}-16(2)^{2} }) ^{2}[/tex]

[tex](\frac{4(8) +10-2(27) }{4(25)-16(4) }) ^{2}[/tex]

[tex](\frac{32 +10-54 }{100-64 }) ^{2}[/tex]

[tex](\frac{-12 }{36 }) ^{2}[/tex]

[tex](\frac{-1 }{3 }) ^{2}[/tex]

[tex]= \frac{1}{9}[/tex]

Hence, the value of the expression for the given values of the variables is 1/9

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(07.06) There are currently 4 people signed up to play on a baseball team. The team must have at least 9 players.

Which of the following graphs includes the possible values for the number of people who still need to sign up for the team?

Number line with closed circle on 5 and shading to the left
Number line with closed circle on 5 and shading to the right.
Number line with open circle on 5 and shading to the left.
Number line with open circle on 5 and shading to the right.

Answers

A graph which includes the possible values for number of people who can still sign up for the team is: B. number line with closed circle on 5 and shading to the right.

What is a number line?

A number line can be defined as a type of graph with a graduated straight line which contains numerical values (positive and negative numbers) that are placed at equal intervals along its length.

Let the number of people who can still sign up for the team be represented by x. Thus, the inequality is given by:

x + 4 ≥ 9

x ≥ 9 - 4

x ≥ 5.

This ultimately implies that, there could be five (5) or more people that can still sign up for the team and a graph which includes these possible values is a number line with closed circle on five (5) and shading to the right because it can get larger.

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Math man fell from the top of a 500 meter building. The equation d = t squared * 0.25 describes math man's distance from the ground as he falls. How long does math man spend falling if he falls all the way from the top of the building to the ground? Round your answer to the nearest tenth.

Answers

Based on the equation of the function of the height of the building, it takes the man 44.7 seconds to fall from the top

How to determine how long it takes the math man to fall?

The function of the height where the man falls is a quadratic function, and the equation of the function is given as:

d = t^2 * 0.25

The height of the building is 500

This means that the value of d is 500.

So, we have;

d = 500

Substitute 500 for d in the equation d = t^2 * 0.25

500 = t^2 * 0.25

Divide both sides of the above equation by 0.25

500/0.25 = t^2 * 0.25/0.25

Evaluate the quotient in the above equation

t^2 = 2000

Take the square root of both sides in the above equation

√t^2 = √2000

Evaluate the exponent

t = 44.7

Hence, it takes the man 44.7 seconds to fall

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Please Solve the equation by factoring: x2+2x−15=0

Answers

Answer:

x = 3, -5

Step-by-step explanation:

I just know

Answer:

x= -5

x=3

Step-by-step explanation:

You are factoring here. The standard form of an equation is Ax² + Bx + C.

The 2 factors must multiple together to be C, but add together to be B. The easiest way to do this is to factor C.

C is -15. Factoring this, we find the only factors of 15 that will add together to be 2 are 5 & -3.

Therefore, the factors are (x+5) and (x-3). If you set each of these factor pairs to 0 and solve, the answers are:

x+5=0

x = -5

x-3 = 0

x=3

What is the measure of

Answers

I believe it’s the bottom option since both triangles are the same and a triangle is 180° and if you subtract 60° you’ll get 120°

A line passes through the point −8, 4 and has a slope of −3/4.

Answers

Answer:

y = (-3/4)x + 2

Step-by-step explanation:

y = m * x + b   where m is the slope and b is the y-intercept

y = (-3/4)x + b       substituting the slope

4 = 6 + b     =>         b = 2        substituting the point given

y = (-3/4)x + 2

Practise the Skill
A container holds 4 yellow balls, 3 blue balls and 1 red ball.
Luke chooses a ball at random.
What is the probability that Luke will pick a blue ball?
Give your answer as a fraction in its lowest terms.

Answers

The answer is 3/8 …………………..

The probability that Luke will pick a blue ball is 3/8.

We have,

To find the probability of Luke picking a blue ball, we need to determine the total number of balls in the container and the number of blue balls.

Total number of balls

= 4 (yellow balls) + 3 (blue balls) + 1 (red ball)

= 8 balls

Number of blue balls = 3

Now, the probability (P) of picking a blue ball is given by:

P = Number of favorable outcomes (picking a blue ball) / Total number of possible outcomes

P = 3 (number of blue balls) / 8 (total number of balls)

Now, we can simplify the fraction to its lowest terms:

P = 3/8

Thus,

The probability that Luke will pick a blue ball is 3/8.

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Johnny picks up a baseball and throws it to Rob who is exactly 130 feet away at a direction of 50 degrees. Rob then throws the ball to Patrick who is 50 feet from Rob in a direction of 30 degrees. Find the exact distance and direction that Patrick is from Johnny.


I need to sketch a triangle.

Answers

The exact distance and direction that Patrick is from Johnny is; 177.81 ft and 215.52°

How to utilize trigonometric ratios?

Let the distance of Johnny to Patrick be x.

The angle opposite x would be; (90 - 50) + 90 + 30 = 160°

We will therefore use the cosine rule to find x;

X² = A² + B² - 2ABcosx

Where;

A and B are the distance of Johnny to Rob and Rob to Patrick respectively. Thus;

X² = 130² + 50² - 2(130)(50)cos160

X²= 16900 + 2500 + 12216.004

X² = 31616.004

X = 177.81 ft

To get the direction "y" we will use sine rule;

50/siny = 177.809/sin160

50/siny = 177.809/0.342

50/siny = 519.9094

Siny = 50/519.904

Siny = 0.09617

y = sin⁻¹(0.09617)

y = 5.52°

The bearing of Patrick from Johnny is;

5.52 + 30 + 180 = 215.52°

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Which is the graph of the function f(x) = 1/2x^2+2x-6?

Answers

See the graph in the attached image.

Find the point of intersection for the pair of linear equations. A. (5.1, 2.6) B. (-3.1, 2.4) C. (3.6, 2.2) D. (-4.6, 4.1) √x+y=-0.7 y = 3x + 11.7​

Answers

The point of intersection for the pair of linear equations is (-5.5, -4.8)

What are linear equations?

Linear equations are equations that have constant average rates of change, slope or gradient

How to determine the point of intersection for the pair?

The pair of linear equations is given as:

x + y = 0.7

y = 3x + 11.7

Substitute y = 3x + 11.7 in x + y = 0.7

x + 3x + 11.7 = 0.7

Evaluate the like terms

2x = -11

Divide both sides by 2

x = -5.5

Substitute x = -5.5 in y = 3x + 11.7

y = 3*-5.5 + 11.7

Evaluate

y = -4.8

So, we have

x = -5.5 and y = -4.8

Express the above points as an ordered pair, to determine the point of intersection

(x, y) = (-5.5, -4.8)

Hence, the point of intersection for the pair of linear equations is (-5.5, -4.8)

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_ May Occur if the chosen sample is too small for a study.
a) Participation Bias
b) response Bias
c)non-response Bias
d) sampling Bias
e) Reasearcher Bias

Answers

The non response bias can happen  if the chosen sample is too small for a study.

What is the non response bias?

This is the term that is used to refer to the type of bias that happens in a research study because the some of the study participants could not participate in the study.

This type of bias is a very serious matter of concern while carrying out research.

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????????????????????????????????????????????
Please help

Answers

Answer: (-2,2)

Step-by-step explanation:

The solution to a system of equations represented graphically is the point where the graphs intersect.

I am odd I am less than 40 both of my digits are perfect squares t-u=0

Answers

Answer:

19 or 14

Step-by-step explanation:

Since the number is odd you can disqualify all even numbers up to 40 including 0.


Next since this number has 2 digits you can take out all 1 digit numbers.


After that, find perfect squares that also are 1 digit each.


Lastly merge the combination of the numbers as each digit on each sides in such a way that the result is less than 40.

(2^x+y , 3^x-y )= (16,9) find the value of x and y

Answers

Answer:

x=3,y=1

Step-by-step explanation:

2^x+y=16,3^x-y=9

16=2^4,9=3^2

x+y=4,x-y=2 add both

2x=6,x=3

3-y=2,y=1

So the value of x will be 16 and the value of y will be 9

Planes A and B intersect.
n
772
W
k
Mark this and return
V
19
Z
X
2
Which describes the intersection of line m and line nº
O point W
point X
point Y
O point Z

Answers

The point that describes the intersection of line m and line n is; Point W

How to interpret Intersection of Planes?

Intersection of the two lines is defined as the point where the two lines cross or meet each other.

It is given that the lines m and n intersect each other, which means that they must be intersecting each other at some point.

From the figure, it can be seen that in plane A, the lines m and n intersect each other at point W, thus point W is the point of intersection of the two line m and n.

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Suppose that X is a Bernoulli random variable with success probability 0.8. (Note: If this number is not already rounded to two decimal places, round it to two decimal places before proceeding.)

Calculate the probability of failure.Round your answer to two decimal places and enter it as a decimal number (as opposed to a fraction percentage or a fraction).

Answers

Considering the probability of success of 0.8 in the Bernoulli trial, the probability of failure is of 0.2.

What is the probability of failure in a Bernoulli trial?


The probability of failure in a Bernoulli trial is one subtracted by the probability of a success.

In this problem, the probability of a success is of 0.8, hence the probability of failure is:

pF = 1 - 0.8 = 0.2.

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15) Mr. and Mrs. Rupe and their 4 sons are taking a 2500 mile camping trip across country. They plan to spend $120 for campsites per
day. The camper rental fee is $65 a day. While pulling the camper their car has a fuel economy of 8 miles per gallon. They estimate $85
per day for food for the 5-day trip. If gasoline is $1.92 per gallon how much will their trip cost?
O a.) $1950
Ob.) $1850
Oc.) $2950
Od.) $1750

Answers

Answer:

A $1950

Step-by-step explanation:

Food, camper rental and camp site will cost 1350

(120 + 65 + 85)5 = 1350

The trip is 2500 and the car gets  8 miles per gallon  2500/8 = 31.5.  The will need to buy 31.5 gallons of gas at 1.92 a gallon or $600 (31.5 x 1.92).

When we add the cost of gas to the other costs, we get a total of 1950 (1350 + 600)

If $11,000 is invested in an account for 25 years. Find the value of the investment at the end of 25 years if the interest is:

Answers

If $11,000 is invested, $33,000 is the value of the investment at the end of 25 years if the interest is 8% simple interest and $75,333.23 is the value of the investment at the end of 25 years if the interest is 8% compounded annually. This can be obtained by using formulas for simple interest and compound interest.

What is the formulas of simple interest and compound interest?Simple interest

A = P(1 +Rt/100) , P = principle amount ,R = rate of interest, t = time(in years)

Compound interest (annually)

A = P(1 + R/100)^t , P = principal amount, R = rate of interest,                                t = time(in years)

   

What is the value of investment?

Given that,  

P = $11,000 , R = 8%,  t = 25 years

8% simple interest

A = P(1 +Rt/100) = [tex]11000(1+\frac{(8)(25)}{100} )[/tex] = $33,000

8% compounded annually

A = P(1 + R/100)^t = [tex]11000(1+\frac{8}{100} )^{25}[/tex] = [tex]11000(1.08 )^{25}[/tex] = $75,333.23

Hence If $11,000 is invested, $33,000 is the value of the investment at the end of 25 years if the interest is 8% simple interest and $75,333.23 is the value of the investment at the end of 25 years if the interest is 8% compounded annually.

         

     

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Disclaimer: The question was given incomplete on the portal. Here is the complete question.

Question: If $11,000 is invested in an account for 25 years. Find the value of the investment at the end of 25 years if the interest is:

(a) 8% simple interest

(b) 8% compounded annually

The demand for a given product demand is formulated by the linear trend equation: y= 50 – 6t.

Based on this information, when would be the first period that there is NO demand at all for this product?

Answers

Answer:

t >= [tex]\frac{25}{3}[/tex] or 8.33333333333

Step-by-step explanation:

We need to set up an inequality where demand is less than or equal to 0. The inequality looks like this:

50 - 6t <= 0

50 <= 6t

t >= [tex]\frac{25}{3}[/tex] or 8.33333333333

Explain the difference between using area and volume with 2-D and 3-D figures.

Answers

The difference between Area and Volume lies in the fact that the former relates to plane shapes while the latter takes the concept of solid shapes into account.

What is the difference between Area and Volume?

The distinctive characteristic of area is the space occupied by a two-dimensional, 2D flat object in a plane while Volume on the other hand is defined as the space covered by a three-dimensional, solid object. The area is quantised in square units while the volume is quantised in cubic units.

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An ice chest contains 9 cans of apple juice6 cans of grape juice5 cans of orange juiceand 4 cans of pineapple juice Suppose that you reach the container and randomly select three cans in successionFind the probability of selecting no grape juice Select one 243 506 6 17/45; c * 5/506; d * 102/253

Answers

Answer:

243/506

Step-by-step explanation:

There are 24 total juice boxes.

18 of them are not grape

You have an 18/24 chance of picking not grape juice

The second time, 1 is removed, then another is removed. This creates:

(18/24)*(18/23)*(18/22) = 243/506

Other Questions
Which statement below correctly depicts the expected value of a fair game?E(X) = 0E(X) = 1E(X) > 0E(X) >1 Which lines from president reagans address at moscow state university contain an opinion?. In a three-paragraph essay, choose a country in Africa or Asia that was colonized by a European power prior to the 20th century. First, provide a brief history of imperialism in that nation, then describe that nation's movement for independence. Finally, explain the legacies of colonialism left behind in that country during the 20th century. Be sure to include evidence to support your response. In the figure below, the radius of the larger circle is 6,8 and the radius of the smaller circle is 4.5. Which of the following best approximates the area of the shaded region? Note: The figure is not drawn to scale. O 14.45 O 16.62 O 25.99 O 81.65 O 145.27 Based on documentary evidence, what developments both inside and outside politics influenced changing campaign strategies? Which quotations from the texts best support the theme that the way to deal with racism is to stand up to it? Select three options.This, friends, is the Welcoming Committee!Lord have mercy, aint this the living gall!You got any more to say 'bout how people ought to sit down and talk to each other?Get out of my house, man.What do you think you are going to gain by moving into a neighborhood where you just arent wanted? The binomial x + 11 is a factor of x^2 121. What is the other factor? Lactic acid has a pKa of 3.08. What is the approximate degree of dissociation of a 0.35 M solution of lactic acid?A) 1.1%B) 2.2%C) 4.8%D) 14%E) none of the above that old granny principal on baka to test deserves to get hit by a bat covered in nails. anyone who have read the light novel would agree. The larger arteries that supply the brain with blood are located within the ____________ space. 5. Why is it important to incubate microbe(s) isolated from humans at 37 degrees celsius? Solid silver bromide and aqueous potassium nitrate are produced by the reaction of aqueous silver nitrate and aqueous potassium bromide . Here's a Question for you! Solve for Reasoning A technician has been troubleshooting a laptop power issue, and now the speakers don't work. what should the technician do first? Describe the four major steps of digestion, and discuss the organs involved in each. Which of the following occurs in meiosis but not mitosis?O Sister chromatids separate and move to opposite ends of the spindleO Homologous chromosomes separateO The cells formed have the same combination of genes as found in the initial cellO The nuclear envelope disappearsOA spindle apparatus forms A spiral tile has a width of 1/4 foot how many tiles will fit end to end on a 4 foot wall pls need help ersrsreerre I NEED HELP ASAP PLEASE THIS IS MY LAST QUESTIONWhich of the following was NOT a result of the Reconquista?Select one:a. Spain and Portugal rose up as separate Catholic statesb. A republican government was established to replace the monarchyc. Spain fought against Muslims on the Iberian Peninsula and the Western Mediterraneand. Muslims and Jews were often persecuted by the government Which statement is true of the following reaction?H + OH+ + 0-O It is balanced for oxidation state and for number of atoms.O It is not balanced for oxidation state or for number of atoms.O It is not balanced for oxidation state but is balanced for number of atoms.OIt is balanced for oxidation state but is not balanced for number of atoms.