Question

How do you simplify the sum of `\frac { 7x + 2} { x - 6} + \frac { x + 7} { x - 6}`? Are there any restrictions on the variable?

Answer 1

`(8x+9)/(x-6)` => Restriction:`x!=6`

Explanation:

`(7x+2)/(x-6)+(x+7)/(x-6)` => restriction: `x!=6`
Common denominator is `(x-6)`, simply add the numerators:
`=(7x+2+x+7)/(x-6)`
`=(8x+9)/(x-6)`