Answer:
(0, -4, -6)
Explanation:
5x - 2y + z = 2 Eq. 1
-4x - 2y + 4z = -16 Eq. 2
4x + 2y - z = -2 Eq. 3
Add Eq. 1 and -(Eq. 2):
9x - 3z = 18 Eq. 4
Add Eq. 2 and Eq. 3:
3z = -18
z = -6
Use Eq. 4 and z = -6:
9x - 3(-6) = 18
9x + 18 = 18
9x = 0
x = 0
Use Eq. 1, x = 0, and z = -6:
5x - 2y + z = 2
5(0) - 2y + (-6) = 2
-2y - 6 = 2
-2y = 8
y = -4
Answer: (0, -4, -6)