Question

How do you solve for x in `1/x + 3/(x-1) = 7/2`?

Answer 1

`x=1/7` or `x=2`

Explanation:

`1/x+3/(x-1)=7/2`

`((x-1)+3x)/(x(x-1))=7/2`

`(4x-1)/(x(x-1))=7/2`

`2(4x-1)=7x(x-1)`

`8x-2=7x^2-7x`

`7x^2-15x+2=0`

`(7x-1)(x-2)=0`

`x=1/7` or `x=2`