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July 8th, 2019, 11:42 PM  #1 
Senior Member Joined: Dec 2015 From: somewhere Posts: 636 Thanks: 91  Solve for integers
Find all pairs $\displaystyle (x,y)$ such that $\displaystyle x+y=xy $, where $x,y$ are integers.
Last edited by skipjack; July 9th, 2019 at 02:22 AM. 
July 9th, 2019, 01:36 AM  #2  
Math Team Joined: May 2013 From: The Astral plane Posts: 2,267 Thanks: 934 Math Focus: Wibbly wobbly timeywimey stuff.  Quote:
$\displaystyle y = \dfrac{x}{x  1}$ If y is to be an integer that means that x must be a multiple of x  1. The only possibilities are x = 0, giving y = 0 and x = 2, giving y = 2. So the solution set is (x, y) = {(0, 0), (2, 2)}. Dan  

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