# How do you solve the rational equation #(x+1)/(x-1)=x/3 + 2/(x-1)#?

##### 2 Answers

#### Answer:

#### Explanation:

Here we go...

By factorizing this equation we get :

But as observed in the given question

Hence,

#### Answer:

#### Explanation:

We have an equation with fractions.

It is possible to get rid of the denominators immediately by multiplying each term by the LCM of the denominators, which in this case is

This leaves us with:

If

If

However,

In this equation,

Therefore there is only one solution.