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You should say "Solve for x, y & z."
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x + 2y - 3z = 11
3x + 2y + z = 1
2x + y - 5z = 11
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x + 2y - 3z = 11 1st eqn
3x + 2y + z = 1 2nd eqn
----------------------------------- Subtract
-2x - 4z = 10 --- no y term
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3x + 2y + z = 1
4x + 2y - 10z = 22 3rd eqn times 2
----------------------------------------------- Subtract
-x + 9z = -21
Multiply by 2
-2x + 18z = -42
-2x - 4z = 10 --- no y term
-------------------------------------------- Subtract
22z = -52
z = -26/11
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-x + 9z = -21
-x - 234/11 = -21 = -231/11
-x = 3/11
x = -3/11
=====================
x + 2y - 3z = 11
-3/11 + 2y + 78/11 = 11 = 121/11
2y = 46/11
y = 23/11
