## Question

###### Suppose that a and b are integers, = 11(mod19), and b = 3(mod19). Find the integer â‚¬ with 0 < c < 18 such that_a) c = 13a (mod19)b) c = 8b(mod19)c) c =b(mod19) d) c = 7a 3b(mod19) e)c = 2a2 + 3b2(mod19) f)c =a3 + 4b3(mod19)

Suppose that a and b are integers, = 11(mod19), and b = 3(mod19). Find the integer â‚¬ with 0 < c < 18 such that_ a) c = 13a (mod19) b) c = 8b(mod19) c) c = b(mod19) d) c = 7a 3b(mod19) e)c = 2a2 + 3b2(mod19) f)c =a3 + 4b3(mod19)

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