Let $a$, $b$ and $d$ be integers. Prove that if $d\mid a$ and $d\mid b$, then&nb

Question

Let $a$, $b$ and $d$ be integers. Prove that if $d\mid a$ and $d\mid b$, then $d\mid(5a-3b)$.

Accepted Answer

$d\mid(5a-3b)$

Divisibility of an Integer Linear Combination