Suppose that a ≡ b mod n and c ≡ d mod n.
(a) Prove that a + c ≡b +d mod n.
(b) Prove that a −c ≡ b − d mod n
2026-03-26 14:42:28.1774536148
Let a, b, c, and d be integers, and let n be a positive integer:
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Hint: Write your modulo equations as $$a=b+nk_1,c=d+nk_2$$ where $k_1,k_2$ are integers