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Solve: diophantine 6x + 11y = 1 — Detailed Solution | AhaStep

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📐 MathLevel 2 — 🟢 Basicdiophantine👁 17 views⏱ 1 min read

Solve: diophantine 6x + 11y = 1

📝 Problem

diophantine 6x + 11y = 1

✨Detailed Solution

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Solve: diophantine 6x + 8y = 1

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1. 📝 Identify: Diophantine equation: 11y$ = 1$

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2. 🧮 Compute GCD: gcd(|6|, |11|) = gcd(6, 11) = 1

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3. 📐 Particular solution: y_{0} = -1$

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4. 🎯 General solution:

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Solve: diophantine 11x + 8y = 1