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

my technique is kind of different from most of the people's.

Answer 2

I'll write down the steps.

Answer 3

To begin with, I chose to get rid of x first.
so I would multiply by -2 on the first equation and 3 on the second equation.
and that becomes
-6x+12y=-24
-6x+9y =18

Answer 4

and you change the signs on the second equation,
and that will give you,
-6x+12y=-24
6x-9y =-18

Answer 5

you add them.
3y=-42
y=-14

Answer 6

now since you got the value of y, you plug in to whatever equation you want to plug in it to.
let's plug in the y value to the second equation. (easier numbers)
-2x+3(-14)=6
-2x-42=6
-2x=48
x=-24

Answer 7

oh yeah, they wanted you to find y value that's great!
then it's going to y=-14

Answer 8

Thanks so much! :)

Answer 9

sure