Question

Find the solution set.

x −2 / x−9 =2

Answer 1

`(x-2)/(x-9) =2`

The denominator can't be equal to 0, so

`x-9\\eq 0\\x\\eq 9`

Now we can solve the equation

`(x-2)/(x-9) =2\\(x-2)/(x-9)=(2x-18)/(x-9) \\x-2=2x-18\\-x=-16\\x=16`

Answer: x=16