corcoranrobert6071 corcoranrobert6071
  • 10-04-2019
  • Mathematics
contestada

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

Respuesta :

jamesphantos11
jamesphantos11 jamesphantos11
  • 10-04-2019

Answer:

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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