What should I do when the variables in my equations don't cancel out when I add them together? I'm trying to use the elimination method!

Question

anonymous · Answer

4x + 3y = -1
3x + y = 3 is the problem, but y and 3y don't cancel out??

directrix · Answer

Which variable did you try to eliminate?

anonymous · Answer

I want to eliminate 3y?

directrix · Answer

4x + 3y = -1
3x + y = 3   ----> Multiply this equation by -3 -->  -3x -3y = -3

4x + 3y = -1
-3x -3y = -3
------------
x + 0y = -4
x = -4 ---> value of x

@CharlesDavid --> Solve for y using either of the original equations.

anonymous · Answer

Oh ok, I think I get it now. Thanks that really helps! I know how to solve for y, so thanks for all your help c:

directrix · Answer

What did you get for y?