Question

How do you solve `x/(x-2)-1/(x-3)=(1)`?

Answer 1

`x = 4`

Explanation:

Multiply through by `(x-2)(x-3)`

`=> (x(x-2)(x-3))/(x-2) -((x-2)(x-3))/(x-3) = (x-2)(x-3)`

`=> x(x-3) - (x-2) = (x-2)(x-3)`

`=> x^2 -3x - x + 2 = x^2 -5x + 6`

`=> -4x + 2 = -5x + 6`

`=> x = 4`