Question

What is the value of y in the solution to the system of equations?

1/3*+1/4y=1
2x - 3y = -30
-8
-3
8

Answer 1

(-3,6)

Explanation:

`(1)/(3)` x +
`(1)/(4)` y = 1 Divide all the way through by 12 to clear the fraction

4x + 3y = 12 Add this to the second equation

2x -3y = -30

6x = -18 Divide both sides by 6

x = -3

Substitute -3 into either of the original equations to solve for y

4x + 3y = 12

4(-3) + 4y = 12

-12 + 4y = 12 Add 12 to both sides

4y = 24 Divide both sides by 4

y = 6