Question

Which of the following is the solution to 6/(x+1) + 7/(x+5) = 11/(x+1)(x+5)?


-27/3


27/3


2


-2

Answer 1

First you get common denominators everywhere

6(x+5)+7(x+1)=11

Distribute

6x+30+7x+7=11

Simplify.

13x+37=11

Subtract the divide to solve

13x=-26

x=-2

The answer would therefore be -2.