Hello, I have the following set of three linear equations. I am trying to solve for x,y,z using substitution.

x - y - z = 0

-2x + 4y = 0

3y - 2z = 3

My first step is to isolate 'y=z-x'

I then substitute y into the next two equations resulting in:

-3x + 2z = 0

-3x + z = 3

Now when I subtract these I get z = -3, however the answer should be z = 3.

What am I doing wrong here ?

Thanks kindly for any help.