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Proof on the divisibility of integers

by kolley
Tags: divisibility, integers, proof
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kolley
#1
Feb16-10, 12:33 PM
P: 17
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
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Mark44
#2
Feb16-10, 12:57 PM
Mentor
P: 21,321
Substitute the expression for a or b into the other equation. What do you get?


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