Solve.
-x - y + z = 2 x + y + z = -4
X + y - z = -8
A)(2, -3, -3)
B)(-3, 2, -3)
C)(-3, -3, 2)
D)No solution

Question

Quizplus · Accepted Answer

Using elimination method, adding the 1st and 2nd equation, we get 2x + 2z = -2 or x + z = -1. Subtracting the 1st and 3rd equation, we get 2y = 10 or y = 5. Substituting y = 5 and x + z = -1 in the 2nd equation, we get x + z + 5 = -4 or x + z = -9. Solving x + z = -1 and x + z = -9, we get x = -4 and z = 3. Therefore, the solution is (-4, 5, 3), which corresponds to option C.

Solve. -X - Y + Z = 2 X + Y