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Home » We solve this system step by step. Subtract consecutive equations: - Leaselab

We solve this system step by step. Subtract consecutive equations: - Leaselab

📅 February 27, 2026 👤 scraface

Feb 27, 2026

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📌 \[ (37a + 7b + c) - (19a + 5b + c) = 45 - 25 \]

📌 \[ 18a + 2b = 20 \Rightarrow 9a + b = 10 \quad \text{(E5)} \]

📌 \[ (9a + b) - (6a + b) = 10 - 7 \Rightarrow 3a = 3 \Rightarrow a = 1 \]

📌 Substitute \( a = 1 \) into E4:

📌 \[ 6(1) + b = 7 \Rightarrow b = 1 \]

📌 Substitute \( a = 1 \), \( b = 1 \) into E1:

📌 \[ 7(1) + 3(1) + c = 11 \Rightarrow c = 11 - 7 - 3 = 1 \]

📌 Substitute into (1):

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