x+y-z=0 (1)
x+2y+z=13 (2)
2x-3y+2z=5 (3)
由(1)+(2),2(1)+(3)得
2x+3y=13 4x+6y=26
4x-y=5 4x-y=5
x=2 y=3
z=x+y=5