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piropos - Londonproperty

📅 March 14, 2026 👤 scraface

Mar 14, 2026

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📌 Using the points:

📌 For (1,4): \( a + b + c = 4 \)

📌 For (2,3): \( 4a + 2b + c = 3 \)

📌 For (4,15): \( 16a + 4b + c = 15 \)

📌 Subtract first from second: \( (4a + 2b + c) - (a + b + c) = 3 - 4 \Rightarrow 3a + b = -1 \) (eq1)

📌 Subtract second from third: \( (16a + 4b + c) - (4a + 2b + c) = 15 - 3 \Rightarrow 12a + 2b = 12 \Rightarrow 6a + b = 6 \) (eq2)

📌 Now subtract eq1 from eq2: \( (6a + b) - (3a + b) = 6 - (-1) \Rightarrow 3a = 7 \Rightarrow a = \frac{7}{3} \)

📌 Substitute into eq1: \( 3(\frac{7}{3}) + b = -1 \Rightarrow 7 + b = -1 \Rightarrow b = -8 \)

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