A pair of equations is shown below:
y=7x- 8
y= 5x-2
Part A: Explain how you will solve the pair of equations by substitution or elimination. Show all the steps and write the solution. (5 points)
Part B: If the two equations are graphed, at what point will the lines representing the two equations intersect? Explain your answer. (5 points

Answers

Answer 1

Answer:

x=3, y=13. (3, 13).

Step-by-step explanation:

7x-8=5x-2

7x-5x-8=-2

2x-8=-2

2x=-2+8

2x=6

x=6/2=3

y=5(3)-2=15-2=13

Answer 2

Answer:

given y=7x-8 i

y=5x-2 ii

Step-by-step explanation:

equating equation i and ii which is i=ii

7x-8=5x-2

7x-5x= -2+8

2x=6

x=6÷2

x=3

now

putting the value of xbin equation i

y=7x-8

y=7×3-8

y=21-8

y=13

hence the value of x and y is 3 and 13 respectively


Related Questions

I need help please I have to finish this

Answers

Answer:

x = 80 degrees

y = 25 degrees

Step-by-step explanation:

First find angle BCA.

We know a line is 180 degrees, and angle BCD is 130. So 180-130 = 50 degrees for angle BCA.

Since it is isosceles (two lines on both sides of triangle ABC) this means the bottom two angles are the same. Now we know the two angles to find missing angle X.

50+50+ x = 180 degrees

x= 180 - 100 = 80 degrees

Next we know triangle BCD is isosceles, so angle BDC and angle CBD are the same. We know the third angle is 130 degrees.

So 180 - 130 = 50 degrees split between two angles that are the same. So one angle is 50/2 = 25 degrees.

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A plastic board that is 15 feet long is leaning against a wall
perpendicular to the ground. The point at which the wooden
board touches the wall is 12 feet above the ground. How far
away is the base of the board from the bottom of the wall?
feet

Answers

Answer:

9 ft

Step-by-step explanation:

a²+b²=c²a²+12²=15²a²+144=225225-144=81√81=9

An elm tree is 3 and 1/2 times as tall as an apple tree . The apple tree is 10 and 2/3 feet tall how tall is the elm tree

Answers

Answer:

111  1/3 feet tall

Step-by-step explanation:

HELP ME PLZ

A figure is shown in the image. What is the measure of the
highlighted angle?
А. 30
В. 60
С. 120
D. 65

Answers

Answer:

c is the correct answer i my guest

c is the answer to the question

what is the opposite of love​

Answers

Answer:

opposite of love is hate

hope this answer will help you

Answer:

Hate is opposite of love

Given the problem below what mistake did Bob make in solving the equation? Bob and his friends paid $30 for 3 sandwiches and and 3 bottles of water.
-Each sandwich cost the same amount.
-The bottles of water cost $1.50 each.
The equation 3(x + 1.50) = 30 can be used to determine x, the cost of each sandwich. Bob solved the equation using these steps: 3(x + 1.50) =30
3x + 1.50 = 30
3x = 28.50
x = 9.50

Answers

Answer:

Bob forgot to distribute 3 to 1.50 in the parentheses

Step-by-step explanation:

Bob made the mistake in his first step.

In the equation 3(x + 1.50) = 30, the 3 has to be distributed to both x and 1.50.

But, Bob only distributed it to x, which led him to get the wrong answer.

So, Bob's mistake when solving was that he forgot to distribute the 3 to 1.50

Complete the sentence. The x-distance between two points tells you

Answers

Answer:

distance

Step-by-step explanation:

Step-by-step explanation:

The key to finding the distance between two points is to remember that the geometric definition of subtraction is the distance between the two numbers as long as we subtract the smaller number from the larger.

A rental car company charges $68.80 per day to rent a car and $0.08
for every mile driven. Paisley wants to rent a car, knowing that:
• She plans to drive 325 miles.
• She has at most $370 to spend.
Write and solve an inequality which can be used to determine d, the
number of days Paisley can afford to rent while staying within her
budget.

Answers

Answer:

5 days maximum

Step-by-step explanation:

Given

Daily charge = $68.80Charge per mile = $0.08Target distance = 325 milesMoney limit = $370

Required inequality:

68.8d + 325*0.08 ≤ 370

Solving for d:

68.8d + 26 ≤ 37068.8d ≤ 344d ≤ 344/68.8d ≤ 5

Up to 5 days is the answer

3
Lauren bikes
5
4
miles in
7
hours. How long does it take her to travel one mile?

Answers

The answer is 7
Dkdoenoemwowmw

what is the answer for this( 7 3 x ∛27 - 2) x 1 5 + √81

Answers

Answer:

5208

Step-by-step explanation:

(73 x ³√27 - 2) x 15 + √81

(73 x 3 - 2) x 15 + 9

(219 - 2) x 24

217 x 24

5208

!!!!!!!!!!!!!!!!!! help

Answers

Answer:

option 1

Step-by-step explanation:

It's given in the question that

a (first term of an A.P.) = 14

d (common difference between terms of A.P.) = -3

So,

2nd term will be = a + d = 14 + (-3) = 11

3rd term = a + 2d = 14 + 2×(-3) = 8

4th term = a + 3d = 14 + 3×(-3) = 5

All these terms are matching with option 1. So, option 1 is the correct option

if 2500 is invested for 4 years and 500 is earned in simple interest, then the yearly interest rate is?

Answers

Answer:

500/4=125

Step-by-step explanation:

Have a nice Day , I would appreciate it if you could mark my answer brainliest

Please answer i don't have muc time

Answers

I’m pretty sure it’s -25

Which equation represents the line whose slope is 2 and y-intercept is 6? a. 2y + 6x = 0 b. y = 6x + 2 c. y = 2x + 6 d. y + 2x = 6

Answers

Answer:

c. y=2x+6

Step-by-step explanation:

In slope intercept for (y=mx+b) m is the slope and b is the y-intercept.

Which is the correct answer?​

Answers

Answer:

I think it is B

Step-by-step explanation:

I cannot be sure about it though as I am just started learning about it at school myself. Plus, I can't read the writing that well 'cause I think the screen is slightly sideways. Hope this helps! :)

PLEASE HELP ME OUT FAST MULTIPLE CHOICE IF YOU DOMT KNOW PLEASE DONT RIGHT ANYTHING!

Answers

Answer:

B

Step-by-step explanation:

When you are finding the solution of two lines on a graph, you look at the intersection point and that is the answer. On the given graph, both lines intersect at (4, -3). Thus, that is the solution.

Best of Luck!

Suppose ALI was told that relative to the other scores on a NTS test, his score was the 95th percentile i.e., his percentile score is 95. How do we interpret it?

Answers

We do a percentage 95% would be his score

A well known pharmaceutical manufacturer is manufacturing a newly developed vaccine, and is concerned about variability in the immune response of the recipients. They claim the variance in the immune response is 1.9. It is known that the immune responses follow a normal distribution. A random sample of 30 individuals were given the vaccine and their immune response recorded. It was found that they had a sample variance of 0.9. At the 5% significance level, test the hypothesis that the population variance of the immune response is equal to 1.9 against the two-sided alternative, that it is not. a. State the null and alternative hypothesis. b. Perform the hypothesis test. (You may use any of the methods we discussed that are appropriate for the problem.) c. State your decision. d. State your conclusion in full sentences.

Answers

Answer:

a

The  null hypothesis is [tex]H_o : \ \sigma^2 = 1.9[/tex]

The alternative hypothesis is  [tex]H_a : \ \sigma^2 \ne 1.9[/tex]  

b

 [tex]X^2 = 13.74[/tex]

c

The decision rule is  

Reject the null hypothesis

d

The conclusion is  

There is no sufficient evidence to conclude that the variance of the immune response is equal to 1.9.

Step-by-step explanation:

From the question we are are told that

   The variance is [tex]\sigma ^2 = 1.9[/tex]

    The sample size is  n =  30  

    The  sample variance  is  [tex]s^2 = 0.9[/tex]

    The level of significance is  [tex]\alpha = 0.05[/tex]

   

The  null hypothesis is [tex]H_o : \ \sigma^2 = 1.9[/tex]

The alternative hypothesis is  [tex]H_a : \ \sigma^2 \ne 1.9[/tex]  

Generally the test statistics  is mathematically represented as

          [tex]X^2 = \frac{ (n- 1 ) * s^2 }{ \sigma^2 }[/tex]

=>       [tex]X^2 = \frac{ (30 - 1 ) * 0.9 }{1.9 }[/tex]

=>       [tex]X^2 = 13.74[/tex]

Generally  from the degree of freedom is mathematically represented as

         [tex]df = n- 1[/tex]

=>      [tex]df = 30 - 1[/tex]

=>      [tex]df = 29[/tex]

Generally from the chi distribution table the critical value of  [tex]\frac{\alpha}{2} \ and \ 1 - \frac{ \alpha }{2}[/tex] at a degree of freedom  of  [tex]df = 29[/tex] is  

       [tex]X^2 _{ \frac{\alpha }{2} , df } = X^2 _{ \frac{0.05 }{2} , 29 } = 45.7[/tex]

=>     [tex]X^2 _{ 1 - \frac{\alpha }{2} , df } = X^2 _{1 - \frac{0.05 }{2} , 29 } = 16.0 5[/tex]

Gnerally from the values obtained we see that

         [tex]X^2 < X^2 _{ 1 - \frac{\alpha }{2} , df }[/tex] hence

The decision rule is  

Reject the null hypothesis

The conclusion is  

There is no sufficient evidence to conclude that the variance of the immune response is equal to 1.9.

The coordínates of point A in a cordinate grid are -2,-3point A is reflectes Across the Y axis to obstinada point B and across the X a is tonobtain point C

Answers

Answer:

B(2,3),C(2,-3)

Step-by-step explanation:

On y-axis symmetry有手就行

determine the coordinates ​

Answers

Answer:

Thus, the rule of a point P(x, y) reflected over the line y = -x

P(x, y) → P'(-y, -x)

we conclude that:

A(3, 4)  → A'(-4, -3)B(3, 2)  → B'(-2, -3)C(-1, 2)  → C'(-2, 3)

Step-by-step explanation:

We know that If a point P(x, y) is reflected over the line y = -x, the x-coordinate and y-coordinate tend to change places and the signs are reverses.

Thus, the rule of a point P(x, y) reflected over the line y = -x

P(x, y) → P'(-y, -x)

Thus, we conclude that:

A(3, 4)  → A'(-4, -3)B(3, 2)  → B'(-2, -3)C(-1, 2)  → C'(-2, 3)

Please help me slove this problem
-6x + 4 = -20

Answers

Answer:

x = 4

Step-by-step explanation:

-6x + 4 = -20, Subtract 4 on both sides

-6x = -24, Divide -6 on both sides

x = 4

Don't worry gotten it

Answers

Answer:

Step-by-step explanation:

Ok  :)

37:35-(32:24-10).2+√289=

Answers

Answer:

to simplify this it is 1295/1804

Step-by-step explanation:

8 pencils for 14 dollars

Answers

Answer:

1 pencil will be for 1.75 $

Answer:

$1.75 for each pencil.

Step-by-step explanation:

if you're asking the price for each pencil then its 1,75 for each because 8 multiplied by 1.75 is 14 :))

Find the slope of the line that passes through the two points given.
(-3, 1) and (-1,5)

Answers

Answer:

2/-3

Step-by-step explanation:

A 13-ounce box of cereal sells for $3.25. An 18-ounce box of cereal sells for $3.60. Which statement describes the difference in the unit prices of the two boxes of cereal?

A. The 13-ounce box is 5 cents cheaper per ounce.

B. The 13-ounce box is 7 cents cheaper per ounce.

C. The 18-ounce box is 5 cents cheaper per ounce.

D. The 18-ounce box is 7 cents cheaper per ounce.

Answers

Answer:

its c

Step-by-step explanation:

Bob is going on a bike ride. He rides for 7 hours for a total of 105 miles. How fast did he ride?Immersive Reader
(1 Point)
15 miles per hour
735 miles per hour
0.066 miles per hour

Answers

Answer:

15 miles per hour.

Step-by-step explanation:

105/7=15

If ABCD is a rectangle, find the measure of angle ABD.

Answers

Answer: 31 degrees

Step-by-step explanation: Angle ABD and BDC are alternate interior angles, meaning that they are congruent. Therefore, the measure of angle ABD is 31 degrees.

The measure of angle ABD is 31°

What are alternate interior angles?

Alternate interior angles are formed by a transversal intersecting two parallel lines . They are located between the two parallel lines but on opposite sides of the transversal, creating two pairs (four total angles) of alternate interior angles. Alternate interior angles are congruent, meaning they have equal measure.

Given;

Angle CDB= 31°

Now

Angle ABD= Angle CDB (alternate interior angles)

Angle ABD= 31°

Therefore, angle ABD will be 31°

Learn more about angles;

https://brainly.com/question/7116550

#SPJ5

1. Place a _____________ on the number line for the number in the expression.

Answers

Answer:

the answer is a equation

Step-by-step explanation:

because u supposed to make it a equation in order for it to be a expression.

hope you get it right!!!!!!!!

if f(x)=3 what is x?

Answers

Answer:

0

Step-by-step explanation:

srry if it's wrong :/

I think it is 0!! You are welcome!!
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