Proof on the divisibility of integers

kolley

1. The problem statement, all variables and given/known data

Let a,b be integers where a doesn't =0. Prove that if a divides b, and b divides a, then a=b or a=-b

3. The attempt at a solution

I started out with b=aj and a=bk, where j,k are integers. Don't quite know how to proceed

Mark44

Substitute the expression for a or b into the other equation. What do you get?

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kolley	Proof on the divisibility of integers Tweet 1. The problem statement, all variables and given/known data Let a,b be integers where a doesn't =0. Prove that if a divides b, and b divides a, then a=b or a=-b 3. The attempt at a solution I started out with b=aj and a=bk, where j,k are integers. Don't quite know how to proceed

Mark44 Mentor	Substitute the expression for a or b into the other equation. What do you get?