Solve the system of equations using substitution
4x + 2y = 16
=−12+5

Answers

Answer 1

Answer:

[tex]x=\frac{70}{11},\:y=\frac{20}{11}[/tex]

Step-by-step explanation:

[tex]\begin{bmatrix}4x+2y=16y\\ y=-\frac{1}{2}x+5\end{bmatrix}[/tex]

[tex]\mathrm{Substitute\:}y=-\frac{1}{2}x+5[/tex]

[tex]\begin{bmatrix}4x+2\left(-\frac{1}{2}x+5\right)=16\left(-\frac{1}{2}x+5\right)\end{bmatrix}[/tex]

[tex]Simplify[/tex]

[tex]\begin{bmatrix}3x+10=16\left(-\frac{1}{2}x+5\right)\end{bmatrix}[/tex]

Isolate x for 3x+10=16(-1/2x+5): [tex]x=\frac{70}{11}[/tex]

[tex]\mathrm{For\:}y=-\frac{1}{2}x+5[/tex]

[tex]\mathrm{Substitute\:}x=\frac{70}{11}[/tex]

[tex]y=-\frac{1}{2}\cdot \frac{70}{11}+5[/tex]

[tex]-\frac{1}{2}*\frac{70}{11}+5=\frac{20}{11}[/tex]

[tex]y=\frac{20}{11}[/tex]

[tex]\mathrm{The\:solutions\:to\:the\:system\:of\:equations\:are:}[/tex]

[tex]x=\frac{70}{11},\:y=\frac{20}{11}[/tex]


Related Questions

HELP!!!

Your health insurance premium is $225 monthly. Your deductible is $2000, how much will your health insurance premium and deductible cost you annually?

A. $2700
B. $4700
C.$5500
D.$2000

Answers

The answer is B., $4700

A truck can be rented from Company A for ​$150 a day plus ​$0.40 per mile. Company B charges ​$80 a day plus ​$0.90 per mile to rent the same truck. Find the number of miles in a day at which the rental costs for Company A and Company B are the same.

Answers

Answer:

140 miles

Step-by-step explanation:

Let

Number of miles = m

Total cost = fixed cost + variable cost

Company A = ​$150 + $0.40m

Company B = ​$80 + $0.90m

Equate company A and company B equation

Company A = Company B

​$150 + $0.40m = ​$80 + $0.90m

Collect like terms

150 - 80 = 0.90m - 0.40m

70 = 0.50m

m = 70 / 0.50

= 140

m = 140 miles

The number of miles in a day at which the rental costs for Company A and Company B are the same is 140 miles

WILL MARK BRAINIEST!!! HAS TO BE CORECT!!!
A recipe for beef stew calls for 1 pound of beef and 3 potatoes. The recipe is doubled to include 2 pounds of beef and 6 potatoes. Which proportion represents the situation?
StartFraction 3 over 1 EndFraction = StartFraction 2 over 6 EndFraction
StartFraction 3 over 6 EndFraction = StartFraction 2 over 1 EndFraction
One-third = StartFraction 6 over 2 EndFraction
One-third = StartFraction 2 over 6 EndFraction

Answers

Answer:

here the answer! There is the  proof it's right. :)

Step-by-step explanation:

Answer:

1/3 = 2/6

Step-by-step explanation

Edu correct

Find the result when 85 is increased by 20%.

Answers

Answer:

102

Step-by-step explanation:

20% of 85 is 17.

85+17 = 102

hope this helps! :)

Answer:

102

Step-by-step explanation:

To find the new amount, multiply 85 by 1.2

85(1.2)

= 102

So, when 85 is increased by 20%, the result is 102.

If M is the midpoint of segment AB, and AM = x+3 and AB = 3x-4, determine the length of segment AB.

Answers

Answer:

AB=2AM

3x-4=2(x+3)

3x-4=2x+6

3x-2x=4+6

x=10

So length AB 3x-4=3(10)-4

30-4=26

The length of AB is 26 units.

What is a line segment ?

A line segment is denoted by two endpoints.

According to the given question M is the midpoint of segment AB.

Given, AM = x + 3 and AB = 3x - 4.

As AM is the midpoint if we take twice of AM that will be equal to AB.

∴ 2(AM) = AB

2(x+3) = 3x - 4.

2x + 6 = 3x - 4.

2x - 3x = -4 - 6.

-x = - 10.

x = 10.

So the length of the line segment AB will be (3x - 4) = 3(10) - 4 units.

= 30 - 4

= 26 units.

learn more about line segment here ;

https://brainly.com/question/25727583

#SPJ2

Solve for h in the mathematical formula V=pi r^(2)h

Answers

Answer:

[tex]\frac{V}{\pi r^{2} }[/tex] = h

Step-by-step explanation:

Lets try and get everything we can away from h.

V = [tex]\pi[/tex][tex]r^{2} h[/tex]

Divide [tex]\pi[/tex][tex]r^{2}[/tex] from both sides of the equation.

Now we end up with:

[tex]\frac{V}{\pi r^{2} }[/tex] = h

Sorry, but I also need help on this

Answers

I believe it’s A. -14 +(-6)

Help help!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

10

Step-by-step explanation:

4 x 1 / 2

Reduce the numbers with the greatest common factor 2

5 x 2 = 10

find the distance traveled in 15 seconds by an object moving with a velocity of v(t)= 20 + 3t feet per second where t is the time in seconds.

Answers

Answer:

4 because you divide 3 and 15 by three which gives you 5 then divide 20 by that gives you 4

the difference of three times a number x and 4

Answers

Answer:

3x - 4

Step-by-step explanation:

Difference means subtraction.

Times means multiplication.

Three times a number x; 3 * x = 3x

3x - 4

Best of Luck!

It's not mentioned exactly what we have to do but can be predicted that we have to frame equation on the basis of the given data.

Given, the number to be considered is x

Three times x = 3x4 is subtracted = -4

The required equation will be:

➝ 3x - 4

And this is only our final answer. And we are done !

Carry On Learning [tex]![/tex]

GIVING BRAINLIEST!!!!!!
SOLVE FAST

Answers

Answer:

Step-by-step explanation:

a(x) = 3x + 2

-3,0,5,6

a(-3) = 3*(-3) + 2

a(-3) = - 9 +2

a(-3) = - 7

===============

a(0) = 3*0 + 2

a(0) = 2

================

a(5) = 3*5 + 2

a(5) = 15 + 2

a(5) = 17

================

a(6) = 3*6 + 2

a(6) = 18 + 2

a(6) = 20


When making bread from scratch, the recipe calls for
3/4
cup of water. If you need to make a smaller

portion of the recipe, how much water would you need in order to make only 1/6 of the recipe?
Give your answer as a fraction, reduced to lowest terms

Answers

Answer:

1/8 of a cup.

Step-by-step explanation:

That would be 1/6 of 3/4

= 1/6 * 3/4

= 1*3 / (6*4)

= 3/24

= 1/8.

HELP ME PLZZ I NEED HELP WITH THIS!!

Answers

Answer:

it is C

Step-by-step explanation:

it is c because all of the other answers are stated in the article, and a opinion is something you think

1) Mr. Turnage spent $800 on a new computer. He used his debit card to
make this purchase. In his bank account he had $783. What will his bank
account balance show after making this purchase?

Answers

Answer:

-62, because he didn't have enough of his money since he was using debit.

(3,4) and (9,2) find slope

Answers

Answer:

m = -1/3

Step-by-step explanation:

m= rise over run

2-4                1

____    =   -  __

9-3                3

Answer:

-1/3  is the slope

Step-by-step explanation:

I attached an image below to show you how i did this. I hope this helps :)

-23 = 13w + 2w + 22

w =

Answers

Answer:

w=-3

Step-by-step explanation:

What is the elevation of Tammys house

Answers

Answer: 38

Step-by-step explanation: quite simple if you do the math 24 + 14 you get 38 which we can conclude as the angle of his house

Brainlest:
10 1/2 divided by 3/8 = 12/2 times 8/3= 9/6 is this ture?

Answers

Answer:

No, i dont think so

Step-by-step explanation:

10 1/2 divided by 3/8:

KCF (keep, change the sign, flip the fraction)

·21/2×8/3=168/6

168/6=28

12/2×8/3=16

therefore they are not equal so it is not true

Hope this helped ;)

Answer:

well lets solve this:

10 1/2-->21/10

21/10 dvided by 3/8-------> to divide fractions we do this: 10/21 x 3/8 (swap the denom and num of the firs fraction then multiply by the sec)

10/21x3/8=30/168 = 3/56

12/2 x 8/3 = 6x 8/3= 6/1x8/3=48/3

48/3 simplified is 16/1 =16

3/56x16/1 = 48/56

48/56=24/28=12/14=6/7

Step-by-step explanation:

Therfore this is false

-hope this helps

Janae needs to solve the equation 3x + 5/16 = 3/4 - 1/8x - 1/2. What is an advantage of using the multiplication property of equality before combining like terms using other properties? In your explanation, tell the value by which you would multiply both sides.

Answers

Answer:

Step-by-step explanation:

Given the expression 3x + 5/16 = 3/4 - 1/8x - 1/2

First we need to use the multiplication prope-rty before combining the like terms. The importance of this is to covent all fraction's to whole numbers.

Multiply through by 16

48x+5= 12-2x-8

Next is to collect the like terms

48x+2x = -8+12-5

50x = -1

Divide both sides by 50

50x/50 = -1/50

x = -1/50

The value used to multiply both sides is 16 and the value of x is -1/50

The measure of the supplement of an angle is three times the measure of the
angle.
Find the measures of the angle and its supplement.

Answers

Answer:

x=45degrees

Step-by-step explanation:

Let the angle to be solved be x

Let the supplement/compliment by y

x+y=90 Complimentary angles add up to 90 degrees.

x+3y=180 Supplementary angles add up to 180 degrees, the other angle is thrice the other compliment.

Evaluating this as a system:

x+y=90 Isolate x:

x=90−y Input into the other equation:

(90−y)+3y=180 Combine like terms, isolate y and its coefficients:

2y=90 Isolate y

y=45 Input into the first equation:

x+45=90 Isolate x:

x=45degrees

HELP WILL GIVE CROWN!!!!!

Answers

Answer:

d

Step-by-step explanation:

i know this question cause i got a A +on the test dont worry

Answer:

C. 9.6×10^7 km

Step-by-step explanation:

Given the distance

9.6×10^10 m

Converted into km, considering 1 m = 10^-3 km:

9.6×10^10 × 10^-3 km = 9.6×10^(10 -3) km = 9.6×10^7 km

Correct option is C

Please look at the image.

Answers

Answer:

It is the first option

Step-by-step explanation:

hope this helps you


What is the value of the product (3 – 2i)(3 + 2i)?
5
9 + 4i
09 - 4i
0 13

Answers

Answer:

13

Step-by-step explanation:

(3-2i)(3+2i)

3×3+3(2i)-2i×3-2i(2i)

13

Hope this helps! :)

Answer: 13

Step-by-step explanation:

got it right

YOUR TURN
3. Fifteen bicycles are produced each hour at the
Speedy Bike Works. Show that the relationship
between the number of bikes produced and the
number of hours is a proportional relationship.
Then write an equation for the relationship.

Answers

Answer:

The equation is: y = 15·x

Step-by-step explanation:

It is provided that at the Speedy Bike Works, 15 bicycles are produced each hour.

Consider the table below.

                    Number of Hours:       1          3          6          10

Number of Bicycles Produced:      15        45        90       150

Compute the ratio of number of bicycles produced and number of hours for every data above as follows:

[tex]\text{1 hour}=\frac{15}{1}=15:1\\\\\text{3 hour}=\frac{45}{3}=\frac{15}{1}=15:1\\\\\text{6 hour}=\frac{90}{6}=\frac{15}{1}=15:1\\\\\text{10 hour}=\frac{150}{10}=\frac{15}{1}=15:1[/tex]

The ratio of the number of bicycles produced and number of hours is same for every data value.

Thus, the relationship between the number of bicycles produced and number of hours is proportional.

The equation for the relationship is:

y = 15·x

y = number of bicycles produced

x = number of hours

Triangle ABC has a perimeter of 22cm.
AB=8cm
BC=5cm
By calculation deduce, whether triangle ABC is a right angled triangle

Answers

Answer:

Step-by-step explanation:

perimeter=22

AB+BC+AC=22

8+5+AC=22

AC=22-13

AC=9

Apply the Pythagorean theorem:

AB²+AB²=AC²

8²+5²=64+25=89

AC²=9²=81

no it is not a right triangle because it failed the Pythagorean theorem

A number k is greater than 3. Which of the ​following is true about ​3 ​ ​k ​​ ? ​​

Answers

K can be ANY number GREATER than three.


Question 5
Measure the lengths of the sides of ABC. Then measure the lengths of the sides of A'B'C' when A'B'C' coincides with the other three
triangles. Record the measurements in the table.

Answers

Answer:

Step-by-step explanation:

Answer:

Length   Length   Length   Length

1.41  1.41  1.41  1.41

2.24  2.24  2.24  2.24

3  3  3  3

Step-by-step explanation:

.

At their annual car wash, the science club washed 30 cars in 45 minutes. At this rate, how many cars will they wash in 1 hour? A- 40, B-45, C-50, D-60

Answers

Answer:

The answer is A 40 cars

Step-by-step explanation:

We can see by dividing 30 by 45 you get 0.66667 repeating. If you then multiply 0.66667 by 60 (There are 60 minutes in an hour) You get 40.02. This rounds down to 40. Please mark me brainliest, and have a tremendous day!

Sydney and her friend are having a party. Sydney bakes two pies and stephanie brings two or more. Then, they cut each pie into 6 pieces. How many pieces of pie will they have for the party?

Answers

Answer:

24 pieces

Step-by-step explanation:

Sydney bakes two pies, stephanie brings two more.

Together we have a total of four pies

each pie is cut into 6 pieces, meaning you should multiply the amount of times they cut it by the number of pies.

6 x 4 = 24

Whats the domain and range

Answers

Answer:

d= all the x values

r=all the y values

Step-by-step explanation:

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