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Home » 4k + 2m + n &= 150 \quad \text(2)\\ - AMAZONAWS

4k + 2m + n &= 150 \quad \text(2)\\ - AMAZONAWS

📅 March 5, 2026 👤 scraface

Mar 05, 2026

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Solve step by step.
From (3):
-x - 2y = -1 \Rightarrow x = 1 - 2y
Substitute into (2):
-3(1 - 2y) + 2z = 5 \Rightarrow -3 + 6y + 2z = 5 \Rightarrow 6y + 2z =...
This matches equation (1), so consistent. Use (1): $ z = 4 - 3y $
Now express $ x = 1 - 2y $, $ z = 4 - 3y $ — so in terms of $ y $,
\mathbf{v} = \langle 1 - 2y, y, 4 - 3y \rangle
For a particular solution, choose $ y = 0 $:
Then $ x = 1 $, $ z = 4 $, so $ \mathbf{v} = \langle 1, 0, 4 \rangle $

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