Question

1/5 (p - 5) = 3/5p + 1/10p + 1

I got two different answers each time I did it.
1.) p = 101/13 & 2.) p = -11/5

Show steps, please? :)

Answer 1

I agree with your second answer - Here's what I did:

First distribute:
\[\frac{ 1 }{5}p -1 = \frac{ 3 }{ 5 }p+\frac{ 1 }{ 10}p +1\]
Then I could either get a common denomenator for all the fractions (change them into 10ths), or just multiply both sides by 10 to get rid of fractions.

2p - 10 = 6p + p + 1
combine like terms to get:
-11 = 5p
\[p=\frac{ -11 }{ 5 }\]