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/ -x - 2y = -1 \Rightarrow x = 1 - 2y
-x - 2y = -1 \Rightarrow x = 1 - 2y
February 22, 2026
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-x - 2y = -1 \quad \text{(3)}
Solve step by step.
From (3):
Substitute into (2):
-3(1 - 2y) + 2z = 5 \Rightarrow -3 + 6y + 2z = 5 \Rightarrow 6y + 2z = 8 \Rightarrow 3y + z = 4
This matches equation (1), so consistent. Use (1): $ z = 4 - 3y $
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