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  3. let a and b be positive integers, and let d be the

Let a and b be positive integers, and let d be their greatest common divisor. Prove...

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Advance Math

Let a and b be positive integers, and let d be their greatestcommon divisor. Prove that there are infinitely many integers x andy such that ax+by = d. Next, given one particular solution x0 andy0 of this equation, show how to find all the solutions.

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The equation axbyc has solutions if and only ifgcdabcIf so it has infinitely manysolutions and any one solution can be usedto generate all the other onesthe greatest common divisor of a and b divides both    See Answer
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