Question

Find the value of y in the solution to the system of equations shown. y=5x+3 2y=18x-10

Answer 1

y = 13

Explanation:

y = 5x + 3

2y = 18x- 10

substitution (substituting y with the y value given):

2( 5x + 3 ) = 18x - 10

solve:

10x + 6 = 18x - 10

10x - 18x = -10 - 6

-8x = -16

x = 2

now plug in the x:

y = 5( 2) + 3

y = 10 + 3

y = 13

Answer 2

13

Explanation:

To find the value of y, we will use the substitution method

Plug the y of the top equation into the other equation

2(5x + 3) = 18x - 10

Distribute the 2 into the equation inside the parenthesis

10x + 6 = 18x - 10

Subtract 10x from both sides

10x + 6 = 18x - 10

-10x -10x

6 = 8x - 10

Add 10 to both sides

6 = 8x - 10

+10 + 10

16 = 8x

Divide both sides by 8

16/8 = 8x/8

x = 2

Sub the 2 in the place of x into one of the original equations. We will use the first one.

y = 5(2) + 3

y= 10 + 3

y = 13