Question

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

Answer 1

`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`.