x + y + z = 16 --- (1)
x - z = 12 --- (2)
y = -2 --- (3)
Substituting (3) into (1), we have:
x + (-2) + z = 16
x + z = 16 + 2
x + z = 18
z = 18 - x --- (4)
Substituting (4) into (2), we have:
x - (18 - x) = 12
x - 18 + x = 12
2x = 12 + 18
2x = 30
x = 30 / 2
x = 15
Substituting x = 15 into (4), we have:
z = 18 - 15
z = 3
Hence, we have x = 15, y = -2 and z = 3.