Question

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.

Answer 1

`ac\mid bc` means there exists an integer
`n` such that
`ac=bcn`. We can divide both sides by
`c` because
`c\\eq0`. This implies
`a=bn` for some integer, which is identically
`a\mid b`.