Question

What is the value of the y variable in the solution to the following system of equations?
3x - 6y = 12
-2x + 3y = 6

-14

24

14

-24

Answer 1

Manipulate the equations so that y is the only variable:

3x - 6y = 12
-2x + 3y = 6

Then:
-2x = 6 - 3y
x = (6 - 3y)/(-2)

Answer 2

And then substitute x into the first equation:
3((6 - 3y)/(-2)) - 6y = 12

Answer 3

Then just solve for y.

Answer 4

24

Answer 5

@Rav

Answer 6

Did you solve for y? Show your work.