Reducing a Matrix with Guass-Jordan elimination

Question

I am doing some homework, but I am stuck on this problem.

1. $-x+y=-2$
2. $-3x+2z=13$
3. $2x-2z=-6$

Here's my work:

That wasn't accepted. I then threw it in matlab, to try to work my way towards the right answer, and got $(-1, -3, -2)$ and that wasn't right either. Further, I found a matrix calculator online and that gave a different answer that was wrong also.

Can anyone tell me where I went wrong in the above picture?

Answer 1

$-6+(-2)(2) = -10$, not $2$.

Simple arithmetical error in bottom right entry in first line.