I found this (solved) problem in my textbook:

2x + y - 3z = 1

5x + 2y - 6z = 5

3x + y + 4z= 7

This is a 3x3 system. I tried to solve it (using Gaussian elimination algorithm) and got this solution:

z=0.8 y=-2.6 x=3

But, the textbook said that the solution is:

z=1 y=-2 x=3

Which is correct? Me or the textbook?

Thanks.