Consider the following system of congruences: x = 5 (mod 7) x = 3 (mod 11)...

 

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Consider the following system of congruences: x = 5 (mod 7) x = 3 (mod 11) x = 8 (mod 13) a. Find the unique solution modulo 7 x 11 x 13 = 1001. Show all steps of your work. b. Write an expression that represents all solutions to the system of congruences. Consider the following system of congruences: x = 5 (mod 7) x = 3 (mod 11) x = 8 (mod 13) a. Find the unique solution modulo 7 x 11 x 13 = 1001. Show all steps of your work. b. Write an expression that represents all solutions to the system of congruences.