Answer: x = -1, y = 1, z = 0
Explanation:
EQ 1: -2x + 2y + 3z = 0 ⇒ 1(-2x + 2y + 3z = 0) ⇒ -2x + 2y + 3z = 0
EQ 2: -2x - y + 3z = -3 ⇒ -1(-2x - y + 3z = -3) ⇒ 2x + y - 3z = 3
3y = 3
y = 1
EQ 1: -2x + 2y + 3z = 0 ⇒ -2x + 2(1) + 3z = 0 ⇒ -2x + 2 + 3z = 0
EQ 3: 2x + 3y + 3z = 5 ⇒ 2x + 3(1) + 3z = 5 ⇒ 2x + 3 + 3z = 5
5 + 6z = 5
6z = 0
z = 0
EQ 1: -2x + 2y + 3z = 0
-2x + 2(1) + 3(0) = 0
-2x + 2 = 0
-2x = -2
x = -1