How to solve this math problem about diophantine?

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

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📐 MathLevel 2 — 🟢 Basicdiophantine👁 16 views⏱ 1 min read

Solve: diophantine 10x + 6y = 1

📝 Problem

diophantine 10x + 6y = 1

1. 📝 Identify: Diophantine equation: 6y$ = 1$

2. 🧮 Compute GCD: gcd(|10|, |6|) = gcd(10, 6) = 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: 6y$ = 1$

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

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

Đáp án: No integer solutions

🔒 2 steps remaining