Question

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

Answer 1

`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)`