Question

1. If a ≡ b mod 2 show that both a and b are both odd, or they are both even.
2. Given that a ≡ b mod 1. What does this say about a and b?
3. Solve for x: 6x ≡ 5 mod 7.
4. Solve for x: 7x ≡ 4 mod 11.
5. Solve for x: 41x ≡ 5 mod 51.
6. Solve for x: 62x ≡ 55 mod 125.
7. 2x ≡ 6 (mod 14)
3x ≡ 9 (mod 15)
5x ≡ 20 (mod 60)​

Answer 1

Answer:

Analyse the situation when , and .

and . Hence, .