Question

How do you solve `\frac { p + 5} { p - 11} = \frac { 5} { 8}`?

Answer 1

`p=-31\frac{2}{3}`

Explanation:

`\frac{p+5}{p-11}=\frac{5}{8}`, `p!=11`
`8(p+5)=5(p-11)`
`8p+40=5p-55`
`8p-5p=-55-40`
`3p=-95`
`p=-\frac{95}{3}=-31\frac{2}{3}`