Solve the system: x+y+z=6x + y + z = 6x+y+z=6, x−y+z=2x - y + z = 2x−y+z=2, 2x+y−z=12x + y - z = 12x+y−z=1.
x=1x = 1x=1
y=2y = 2y=2
z=3z = 3z=3
x=2x = 2x=2