# When solving a rational equation, why is it necessary to perform a check?

##### 1 Answer

#### Answer:

It is necessary to perform a check because in the process of multiplying through you can introduce spurious solutions.

#### Explanation:

Consider the example:

We could choose to "cross multiply" the equation to get:

That is:

Subtract

Add

Divide both sides by

Hence

But try putting

What went wrong here is that both