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Math Help - Equation in N2

  1. #1
    Super Member dhiab's Avatar
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    Equation in N2

    Solve In :
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  2. #2
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    Prove It's Avatar
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    Quote Originally Posted by dhiab View Post
    Solve In :
    If we rearrange the equation we find

    y = \frac{1000 - 19x}{13}.


    You need to substitute an integer x in order to get an integer y.

    For this to happen, 1000 - 19x needs to be a multiple of 13.

    Have a go from here...
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  3. #3
    Super Member malaygoel's Avatar
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    Quote Originally Posted by Prove It View Post

    y = \frac{1000 - 19x}{13}.


    You need to substitute an integer x in order to get an integer y.

    y = \frac{1001-1 - 13x-6x}{13}

    y = 77-x-\frac{1+ 6x}{13}.

    The smallest value of x that will satisfy is 2. Since gcd(6,13)=1, the next next value will be 2+13=15, the next 28 and so on.

    The largest value of x is less than or equal to  [\frac{1000}{19}](Why?)
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  4. #4
    Super Member dhiab's Avatar
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    Hello: Help .....Continu
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