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If x and y are non-negative integers satisfying xy+x-y=8, find all the solutions of (x,y)

 Jun 29, 2020
 #1
avatar+307 
+1

Looks like Simon's Favorite Factoring Trick!

x(y+1)-y=8

x(y+1)-y-1=8-1

x(y+1)-(y+1)=7

(y+1)(x-1)=7

Case 1: y+1=1, x-1=7

(8, 0)

Case 2: y+1=7, x-1=1

(2, 6)

 Jun 29, 2020
 #2
avatar+549 
+4

gr8 ans!

amazingxin777  Jun 29, 2020

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