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I Diophantine equation

  1. Oct 9, 2016 #1
    The given question required me to solve 7x+4y =100 by using diophantine equation . I get an answer for x = 100 - 4t and y = 200 - 7t . But his given answer is x = 4t and y = 25-7t . I think both of mine and the answer given is correct but I can't figure out how he get another solution
     
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  3. Oct 9, 2016 #2

    jedishrfu

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    What values can t have?
     
  4. Oct 9, 2016 #3

    mathman

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    Your answer is obviously incorrect. Using your result, 7x+4y=1500-56t. Your answer is correct for -7x+y=100.

    His answer is correct.
     
  5. Oct 10, 2016 #4

    mfb

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    I think you mean -7x+4y=100.
     
  6. Oct 10, 2016 #5

    mathman

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    You are right - my typo.
     
  7. Oct 11, 2016 #6
    Both answer is correct since both can be used to find the value of x and y , it's just I don't understand how he get the answer using dio phantine method
     
  8. Oct 11, 2016 #7

    mathman

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    I am not familiar with the Diophantine method. However, by substituting your answer into the original equation, it is obviously wrong. His answer is obviously correct. I can only guess you are misusing the Diophantine method.
     
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