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Home » Odd non-primes contribute one odd each, even non-primes none. - NBX Soluciones

Odd non-primes contribute one odd each, even non-primes none. - NBX Soluciones

📅 May 4, 2026 👤 scraface

May 04, 2026

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

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

📌 So, the x-term coefficient is \( b = -8 \).

📌 The sum of all real solutions to the equation \( |2x - 5| = |x + 3| \) is?

📌 Use the property \( |A| = |B| \Rightarrow A = B \) or \( A = -B \).

📌 Case 1: \( 2x - 5 = x + 3 \Rightarrow x = 8 \)

📌 Check: LHS = |16 - 5| = 11, RHS = |8 + 3| = 11 → valid.

📌 Case 2: \( 2x - 5 = -(x + 3) \Rightarrow 2x - 5 = -x - 3 \Rightarrow 3x = 2 \Rightarrow x = \frac{2}{3} \)

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