Question

Solve the system using elimination.

6x + 3y = –12
6x + 2y = –4

Answer 1

So firstly, multiply both sides of the second equation by -1:
`6x+3y=-12\\ -6x-2y=4`

Next, add the 2 equations together to get
`y=-8`

Now that we have y, substitute the value into y of either equation and solve:

`6x+3(-8)=-12\\ 6x-24=-12\\ 6x=12\\ x=2\\ \\ 6x+2(-8)=-4\\ 6x-16=-4\\ 6x=12\\ x=2`

In short, y = -8 and x = 2.