9514 1404 393
Answer:
(x, y, z) = (-8 2/7, -10, -7 3/7)
Explanation:
A graphing calculator or matrix solver can find the solution easily. It is ...
(x, y, z) = (-8 2/7, -10, -7 3/7)
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You can find y by subtracting the second equation from the third:
(2x -y +z) -(2x -3y +z) = (-14) -(6)
2y = -20
y = -10
Putting this value into the first equation and either of the others gives ...
x -3z = 14
2x +z = -24
Subtracting twice the first of these from the second gives ...
(2x +z) -2(x -3z) = (-24) -2(14)
7z = -52
z = -52/7 = -7 3/7
x = 14 +3(-7 3/7) = -8 2/7
So, the solution is (x, y, z) = (-8 2/7, -10, -7 3/7).