# How do you solve the rational equation #2/a = 4#?

##### 2 Answers

#### Explanation:

the first step in solving this equation is to 'cross multiply'

hence : 4a = 2

now divide both sides by 4 :

# (cancel(4) a)/cancel(4) = 2/4 = 1/2#

#### Explanation:

Given:

Multiply both sides by a giving:

To make sure that initially you do not get in a muddle write this as:

By the laws of mathematics you can do this next bit:

See the way I have swapped the bottom numbers of the fractions around!

But

And

so we end up with:

Now if I do the same sort of thing with multiply both sides by

so