Question

Solve? `1/(1-x)=3/(x-3)`

Answer 1

`x=3/2`

Explanation:

`1/(1-x)=3/(x-3)`

Let's cross multiply:

`x-3=3(1-x)`

`x-3=3-3x`

`4x=6`

`x=3/2`

Check the answer:

`1/(1-(3/2))=3/((3/2)-3)`

`1/(-1/2)=3/(-3/2)`

`1/1xx(-2/1)=3/1xx(-2/3)`

`-2=-2 color(white)(000)color(green)sqrt`