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27 June, 22:18

Find the sum of the $x$-coordinates of all possible positive integer solutions to $/frac1x+/frac1y=/frac17$.

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  1. 27 June, 22:28
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    Step-by-step explanation:

    So the equation is 1/x+1/y=1/7

    Multiplying both sides by 7xy, we get

    7y+7x=xy

    So x+y=xy/7

    Or x=-y+xy/7

    So x can be:

    1,2,3,4,5,6
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