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.

Printable View

- Oct 10th 2010, 03:14 PMkanoroProving 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.

- Oct 10th 2010, 03:55 PMharish21
x|y if y = xk for some k..

for some k

for some l

so... - Oct 10th 2010, 04:04 PMkanoro
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?

- Oct 10th 2010, 04:09 PMharish21

so

a|c means c = a(an integer)

....