Thread: Proving a|(b+c) and a|b, then a|c

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.

x|y if y = xk for some k..



for some k

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?

so

a|c means c = a(an integer)

....