2y+x-2z=6 ------------- (1)
x+3y-3z=10 ------------ (2)
x+4y+6z=24 --------- (3)
From (2), x = 10 - 3y + 3z. Substitute for x into (1) and (3).
-y+z = -4 --------- (4)
y+9z = 14 ------- (5)
From (4), y = z + 4. Substitute into (5) for y.
z + 4 + 9z = 14
10z = 10
z = 1, Therefore,
y = 5
z = -2
Answer: x = -2, y = 5, z = 1