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Home » Now subtract equation (1) from equation (3): - IQnection

Now subtract equation (1) from equation (3): - IQnection

📅 May 4, 2026 👤 scraface

May 04, 2026

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📌 $ (37a + 7b + c) - (19a + 5b + c) = -12 - 6 $

📌 $ \Rightarrow 18a + 2b = -18 \Rightarrow 9a + b = -9 \quad \text{(9)} $

📌 Subtract (8) from (9):

📌 $ (9a + b) - (6a + b) = -9 - 5 \Rightarrow 3a = -14 \Rightarrow a = -\frac{14}{3} $

📌 $ 6(-\frac{14}{3}) + b = 5 \Rightarrow -28 + b = 5 \Rightarrow b = 33 $

📌 Substitute $ a = -\frac{14}{3}, b = 33 $ into (5):

📌 $ 7(-\frac{14}{3}) + 3(33) + c = -4 \Rightarrow -\frac{98}{3} + 99 + c = -4 $

📌 $ \Rightarrow \frac{-98 + 297}{3} + c = -4 \Rightarrow \frac{199}{3} + c = -4 \Rightarrow c = -4 - \frac{199}{3} = -\frac{211}{3} $

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