# math logic

posted by
**steph** on
.

I need to find 5 or more ordered pairs (x,y)

In which xy = x + y

like (0,0) and (2,2)

0,0

2,2

1/2,-1

-1,1/2

i need one more

How about two different x's and y''s?

(2,3) = 1,5)

this is the problem: xy= x+y

or the product of xy equals the sum of x and y.

example: x= .5 and y= -1

where x times y equals -0.5 and x plus y also equals -0.5.

i need one more example so far I have:

(0,0)

(2,2)

(1/2,-1)

(-1,1/2)

xy= x+y ---->

xy - x = y --->

x(y-1) = y ---->

x = y/(y-1)

Take e.g. y = 9/10 ---> x = -9