How do you solve for x in $xy = x + y$ ?

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Answer 1 · 2015-04-07T12:31:50

$color(red)(xy=x+y$

Transposing $x$ to the Left Hand Side will give us

$xy-x=y$

$x*(y-1) = y$ ( $x$ was a common factor on the Left Hand Side)

Dividing both sides by $(y-1)$ (Assuming $y!=1)$ , we get

$color(green) (x = y/(y-1)$

How do you solve for x in xy = x + yxy = x + y?