CRT and solving linear congruences (No credit will be given for simply guessing and proving that...

CRT and solving linear congruences (No credit will be given for simply guessing and proving that your answer is correct): (a) Solve the system of linear congruences: x ≡ [1, 2, 3] (mod [3, 5, 7]). (b) If 3x ≡ 2 (mod 7) and 5x ≡ 3 (mod 13), find a solution for x modulo 91 if it exists. (c) Solve for x if 3x ≡ 15 (mod 18) and 4x ≡ 5 (mod 15), if it exists. (d) Solve for x if 3x ≡ 15 (mod 18) and 4x ≡ 6 (mod 15), if it exists.

Expert Solution

Colby Messinger answered 2 years ago

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