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Home » Daily cost: \( 3 \times 45 = 135 \) dollars. - 500apps

Daily cost: \( 3 \times 45 = 135 \) dollars. - 500apps

📅 March 14, 2026 👤 scraface

Mar 14, 2026

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📌 -x - 2y = -1 \Rightarrow x = 1 - 2y

📌 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 $

📌 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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