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I need to find a solution for

ax + by = c,

such that the values of x and y are minimum. How can I do this?

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Please note that Mathoverflow serves to answer research-level questions, see the FAQ (mathoverflow.net/faq) . Your question is better suited for math.stackexchange.com . – Emil Jeřábek Sep 12 2011 at 17:04

closed as off topic by Andreas Blass, Qiaochu Yuan, Emil Jeřábek, Igor Rivin, Felipe Voloch Sep 12 2011 at 16:57

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