Question

Solve the qn in attachment .​

Answer 1

`( (3)/(x - 1) - 4 )/(2 - (2)/(x - 1) ) \\ = ( (3 - 4(x - 1))/(x - 1) )/( (2(x - 1) - 2)/(x - 1) ) \\ = (3 - 4x + 4)/(2x - 2 - 2 ) \\ (7 - 4x)/(2(x - 2)) \\ option \: b \: is \: your \: answer \\ thank \: you`

Answer 2

`\implies ( -4x+7)/(2(x-2) )`

Explanation:

The given expression to us is ,

`\implies (( 3)/(x-1) -4 )/( 2 -(2)/(x-1))`

Now take the LCM as ( x - 1 ) and Simplify , we have ,

`\implies (( 3 -4(x-1) )/(x-1) )/( (2-2(2x-1))/(x-1))`

Simplifying further , we get ,

`\implies ( -4x+7)/(2(x-2) )`

Hence the second option is correct .