Answer:
(0, 1, 3)
Step-by-step explanation:
multiply the third equation by 2
5x + 4y - z = 1
2x - 2y + z = 1
-2x - 2y + 2z = 4
add all three equations together
5x + 2z = 6
z = (6 - 5x) / 2 = 3 - 2.5x
add the first equation to twice the second
9x + 0y + z = 3
substitute for z
9x + (3 - 2.5x) = 3
6.5x = 0
x = 0
5(0) + 2z = 6
z = 3
2(0) - 2y + 3 = 1
y = 1
