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Home » Thus, the sum of all values of \(b\) is: - Crankk.io

Thus, the sum of all values of \(b\) is: - Crankk.io

📅 February 26, 2026 👤 scraface

Feb 26, 2026

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📌 Now subtract to eliminate $ c $:

📌 Subtract: $ (9a + b) - (6a + b) = 0 - 5 \Rightarrow 3a = -5 \Rightarrow a = -\frac{5}{3} $

📌 Substitute into $ 6a + b = 5 $:

📌 6(-\frac{5}{3}) + b = 5 \Rightarrow -10 + b = 5 \Rightarrow b = 15

📌 Now use $ 7a + 3b + c = -4 $:

📌 7(-\frac{5}{3}) + 3(15) + c = -4 \Rightarrow -\frac{35}{3} + 45 + c = -4 \Rightarrow c = -4 + \frac{35}{3} - 45 = -\frac{112}{3}

📌 Now use $ a + b + c + d = 3 $:

📌 -\frac{5}{3} + 15 - \frac{112}{3} + d = 3 \Rightarrow \left( -\frac{117}{3} + 15 \right) + d = 3 \Rightarrow -39 + 15 + d = 3 \Rightarrow d = 27

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