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Suppose a, b, and c are integers. Prove that if a|b and a|c then a|(b+c)

[From: ] [author: ] [Date: 11-05-11] [Hit: ]

a|b means for some x, ax=b.
a|c means for some y, ay=c.
b+c = ax+ay = a(x+y) and so a|(b+c)

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