Question

(a) Solve x ≡ 11 (mod 12), x ≡ 4 (mod 5), x ≡ 0 (mod...

(a) Solve

x ≡ 11 (mod 12), x ≡ 4 (mod 5), x ≡ 0 (mod 7)

(b) Find all the solutions of the following system:

x ≡ 5 (mod 6), x ≡ 4 (mod 11), x ≡ 3 (mod 17).

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Homework Answers

Answer #1

a)

Combined we get and

So we can solved these to get as the solution

b)

So we get

Therefore the solution is

Thus the solution is

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