G es to prove that if a, b, and c are integers, where a ≠ 0 and c ≠ 0, such that ac | bc, then a | b.

Question

asked Apr 27, 2019 107k views

1 Answer

Greg Alexander · Answer 1 · 2019-05-03T11:25:43+0000

$ac\mid bc$ means there exists an integer

such that

. We can divide both sides by

because
$c\\eq0$ . This implies
a=bn

for some integer, which is identically
$a\mid b$ .