Question

How do you solve `\frac { w + 5} { w + 8} = 1+ \frac { 6} { w + 1}`?

Answer 1

`w = -17/3`

Explanation:

Put on a common denominator and solve.

`((w + 5)(w + 1))/((w + 8)(w + 1)) = (1(w + 1)(w + 8))/((w + 1)(w + 8)) + (6(w + 8))/((w + 1)(w + 8))`

`w^2 + 6w + 5 = w^2 + 9w + 8 + 6w + 48`

`-9w = 51`

`w = -51/9= -17/3`