Question

Find the solution set. x −2 / x−9 =2

Answer 1

$\dfrac{x-2}{x-9} =2$

The denominator can't be equal to 0, so

$x-9\neq 0\\x\neq 9$

Now we can solve the equation

$\dfrac{x-2}{x-9} =2\\\dfrac{x-2}{x-9}=\dfrac{2x-18}{x-9} \\x-2=2x-18\\-x=-16\\x=16$

Answer: x=16