Hi, working on a problem and need some help.. The problem is that if a,b,c are integers and a|(b+c) and a|b, then a|c. Thanks in advance.
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x|y if y = xk for some k.. $\displaystyle a|b \implies b = ak$ for some k $\displaystyle a|(b+c) \implies (b+c) = al $ for some l so...
Right, so then I get b + c = al for some l and b = al2 for some l2 right. So then do I add the two equations together or what?
$\displaystyle b+c = al $ $\displaystyle b=ak$ so $\displaystyle ak+c = al$ a|c means c = a(an integer) ....
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