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Home » Compute $\mathbfp + k\mathbfq$: - Baxtercollege

Compute $\mathbfp + k\mathbfq$: - Baxtercollege

📅 March 11, 2026 👤 scraface

Mar 11, 2026

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📌 Total new volume: \( 20 + 10 = 30 \, \text{liters} \)

📌 New alcohol percentage: \( \frac{8}{30} \times 100\% = 26.67\% \)

📌 #### New alcohol percentage: 26.67%

📌 Solve the system of equations: \( 2x + y = 10 \) and \( x - y = 2 \).

📌 From \( x - y = 2 \), express \( x = y + 2 \)

📌 Substitute into \( 2x + y = 10 \): \( 2(y + 2) + y = 10 \)

📌 Simplify: \( 2y + 4 + y = 10 \) → \( 3y = 6 \) → \( y = 2 \)

📌 Find \( x \): \( x = 2 + 2 = 4 \)

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