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Problem 3 (Solving congruences) [30 marks) 1. Find all integers x such that 0 x 77 and 5x + 9 = 10 mod 77 2.

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Problem 3 (Solving congruences) [30 marks) 1. Find all integers x such that 0 x 77 and 5x + 9 = 10 mod 77 2. Find all integers x such that 0 x 77, x 2 mod 7 and x 3 3. Find all integers x and y such that 0-x 77, 0 y 77, x+y-33 Justify your answer. mod 11. Justify your answer. mod 77 and x-y= 10 mod 77, Justify your

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