Suppose that a and b are integers. a 11 (mod 19), and b 3
Chapter 4, Problem 14E(choose chapter or problem)
Problem 14E
Suppose that a and b are integers. a ≡ 11 (mod 19), and b ≡ 3 (mod 19). Find the integer c with 0 ≤ c ≤ 18 such that
a) c ≡ 13a (mod 19).
b) c ≡ 8b (mod 19).
c) c ≡ a - b (mod 19).
d) c ≡ 7a + 3b (mod 19).
e) c ≡ 2a2 + 3b2 (mod 19).
f) c ≡ a3 + 4b3 (mod 19).
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