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Home » To find the \( y \)-intercept, set \( x = 0 \) in the equation: - Tacotoon

To find the \( y \)-intercept, set \( x = 0 \) in the equation: - Tacotoon

📅 March 10, 2026 👤 scraface

Mar 10, 2026

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3y + z = 4 \quad \text{(1)}\\
-3x + 2z = 5 \quad \text{(2)}\\
-x - 2y = -1 \quad \text{(3)}
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 $,

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