Question

How do you solve `\frac { x } { x - 1} - \frac { 3} { 2x - 2} = \frac { 1} { 2}`?

Answer 1

`x=2`

Explanation:

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

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

`(2x)/(x-1)-3/(x-1)=1` multiply both sides by 2

`2x-3=x-1` multiply both sides by `x-1`

`x=2` solve linear equation