Question: Consider the Chinese remainder system X= 2 (mod 12) x = 16 (mod 25) x=16 (mod 35): (a) Argue why this system is consistent. (b)

Consider the Chinese remainder system X= 2 (mod 12) x = 16 (mod 25) x=16 (mod 35): (a) Argue why this system is consistent. (b) Find now all solutions of the system, and write the set of solutions as the solutions to a single congruence. Check that the solutions are correct using Maple

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