please help very confused . Solve. Check for extraneous solutions.

Question

1            3               1

_    +     _        =     _

2            10             5X 

Answer 1

First, rewrite the left side as "one half plus three tenths" or 5/10 + 3/10 = 8/10 = 4/5.

 

So the equation is 4/5 = 1/(5x).  This is a proportion, one of whose properties is that both sides can be inverted (reciprocals), so therefore 5/4 = 5x.

 

Multiply by one fifth on each side, giving 1/4 = x.