Question

How do you solve `(x +2) / 3 = 6/ (x-1)`?

Answer 1

`(x+2) / 3 = 6/(x-1)`

cross multiplying:
`(x+2)(x-1) = 6.3`

`x^2 -x +2x - 2 = 18`
`x^2 + x - 20=0`

Factorising by splitting the middle term:
`x^2 + 5x - 4x - 20=0`
`x(x+5) - 4 (x+5)=0`
`(x- 4) (x+5)=0`

the solutions for the expression are: `color(blue)(x=4 , x=-5`