Multiply the first equation by 2 and add to the second equation eliminating y and z.
4x + 2y - 2z = -6
+ 5x - 2y + 2z = 24
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9x = 18
x = 2
Substitute x value in third equation, and solve for z.
3x - z = 5
3(2) - z = 5
6 - z = 5
-z = -1
z = 1
Substitute x and z values in first equation, and solve for y.
2x + y - z = -3
2(2) + y - 1 = -3
4 + y - 1 = -3
y + 3 = -3
y = -6
Answer: D. (2, -6, 1)
