The given system is
Use equation (3) to find x in terms of y and z
Substitute x in (1) and (2) by (4)
Multiply (6) by 2
Substitute -32y in (5) by (7)
Substitute the values of z in equation (7) to find y
Substitute the values of z and y in equation (4) to find x
The solution is x = -3, y = -3, z = 2