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

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Advance Math

CRT and solving linear congruences (No credit will be given forsimply guessing and proving that your answer is correct): (a) Solvethe 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 xmodulo 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) and4x ? 6 (mod 15), if it exists.

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