# How do you solve #7/(x+1)=6/(x-5)# and check for extraneous solutions?

##### 1 Answer

Aug 26, 2016

#### Explanation:

Before we even start with solving, we can immediately exclude two values of x as solutions.

The denominator of a fraction may not be equal to 0 so any value of x which causes this may not be a solution.

If

Therefore

We have an equation with one term on each side.

Cross-multiply.