Question: Assume a, b eN+. 1) Show a and b are relatively prime iff there exists x Z, such that ca = 1 (mod b).

Assume a, b E N+. 1) Show a and b are relatively prime iff there exists x Z, such that xa = 1 (mod b). 2)

Assume a, b eN+. 1) Show a and b are relatively prime iff there exists x Z, such that ca = 1 (mod b). 2) Show a and b are relatively prime iff for all y Z, there exists x = Z, such that xa = y (mod b).

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