How to solve this math problem about diophantine?

1. 📝 Identify: Diophantine equation: 6x + 10y = 1 2. 🧮 Compute GCD: gcd(|6|, |10|) = gcd(6, 10) = 2

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Solve Find integer solutions for the Diophantine equation: 6x + 10y = 1 — Step-by-Step Solution by AhaStep | AhaStep

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📐 MathLevel 2 — 🟢 Basicdiophantine👁 18 views⏱ 1 min read

Solve Find integer solutions for the Diophantine equation: 6x + 10y = 1 — Step-by-Step Solution by AhaStep

📝 Problem

Find integer solutions for the Diophantine equation: 6x + 10y = 1

1. 📝 Identify: Diophantine equation: 10y$ = 1$

2. 🧮 Compute GCD: gcd(|6|, |10|) = gcd(6, 10) = 2

3. ❌ No solution: 1 is not divisible by gcd = 2, so no integer solutions exist

Đáp án: No integer solutions

🔒 2 steps remaining

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1. 📝 Identify: Diophantine equation: 10y$ = 1$

2. 🧮 Compute GCD: gcd(|6|, |10|) = gcd(6, 10) = 2

3. ❌ No solution: 1 is not divisible by gcd = 2, so no integer solutions exist

Đáp án: No integer solutions

🔒 2 steps remaining