Question

How do you solve `\frac { x } { x + 3} = 1- \frac { 2} { x - 5}`?

Answer 1

Solution: `x=21`

Explanation:

`x/(x+3)=1-2/(x-5) or x/(x+3)+2/(x-5)-1=0` .

Multiplying by `(x+3)(x-5)` on both sides we get #x(x-5)+2(x+3)-(x+3)*(x-5)=0 or cancelx^2-cancel5x+2x+6- cancelx^2-3x+cancel5x+15=0 or -x+21=0 or x=21#

Solution: `x=21` [Ans]