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

1 Answer
Apr 17, 2018

Answer:

#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#.