Exercise 2.3.3 (First examples, part 3)

Solve the set of congruences x ≡ 1 ( mod 4 ) , x ≡ 0 ( mod 3 ) , x ≡ 5 ( mod 7 ) .

Answers

Proof. Here 4 , 3 , 7 are relatively prime by pairs. A solution is x 0 = 33 . Therefore the solutions are

x = 33 + k 84 , k ∈ ℤ .

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2024-08-11 10:01
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