Congruences:
Suppose m be a positive integer, then the two integer a and b called congurent modulo ml' if a -b is divisible by m i.e. a -b = mλ
where λ is an positive integer.
The congruent modulo m' is described on all a, b ∈ I by a ≡ b (mod m) iff a -b = λ, λ I+
Problem: Search all congruent solutions of 8x ≡ 6 (mod 14)
Solution: known 8x ≡ 6 (mod 14)
![1799_Congruences.png](https://www.expertsmind.com/CMSImages/1799_Congruences.png)
and here greatest common divisor of 14 and 8 is 2 so, there are two needed solutions
for λ = 3 and λ = 7, x = 6, 13
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