Help me with solving linear system with three variables (I can’t get it)

Question

2x-4y+3z=17

x+2y-z=0

4x-y-z=6

find (x,y,z)

Answer 1

I used the Matrix solution for a 3x4 matrix and got

x = 3

y = 1

z = 5

Answer 2

I used the Matrix solution for a 3x4 matrix and got

x = 3

y = 1

z = 5