Suppose that a and b are integers, a 4 (mod 13), and b
Chapter 4, Problem 13E(choose chapter or problem)
Problem 13E
Suppose that a and b are integers, a ≡ 4 (mod 13), and b ≡ 9(mod 13). Find the integer c with 0 ≤ c ≤ 12 such that
a) c ≡ 9a (mod 13).
b) c ≡ 11b (mod 13).
c) c ≡ a + b (mod 13).
d) c ≡ 2a + 3b (mod 13).
e) c ≡ a2 + b2 (mod 13).
f) c ≡ a3 - b3 (mod 13).
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