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Linear diophantine equations

  1. Feb 4, 2010 #1
    Do diophantine equations ax+by =C with gcd (a,b) = 1 have a solution?
     
    Last edited: Feb 4, 2010
  2. jcsd
  3. Feb 4, 2010 #2

    CRGreathouse

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    Sure. Use the CRT.

    You can even get a solution in the more general case gcd(a, b) | C.
     
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