How do you solve 3/x - 2/(5x) = 13?

1 Answer
Apr 17, 2018

x=1/5

Explanation:

Fairfax? Like in Virginia?

3/x-2/(5x)=13

The first thing to do is remove the fear factor - having variables in denominators of quotients. This can be easily remedied by multiplying both sides of this equation by x.

3-2/5=13x

There now. Not as scary, but we still need to know how to deal with fractions. Watch closely:

3-2/5=3*5/5-2/5=15/5-2/5=13/5=13x

Since 13/5=13x, we can divide both sides of this equation by 13 to get

1/5=x.