Question

Solve the equation. Check your answer

Answer 1

yes

Answer 2

\[\frac{ 5 }{ 3p } + \frac{ 2 }{ 3 }=\frac{ 5+p }{ 2p }\]

Answer 3

@ranga could you help?(:

Answer 4

\[5/3p+2/3=5+2p/3p=5+p/2p\]
cancelling out the p's in the denominator ,
\[5+2p/3=5+p/2 \rightarrow 10+4p=15+3p \rightarrow p=5\]

Answer 5

Same method as in the previous reply but it would have been clearer if parenthesis were used when writing "horizontally". Instead I will write the fractions "vertically" so I don't have to use parenthesis:
\[
\frac{ 5 }{ 3p } + \frac{ 2 }{ 3 }=\frac{ 5+p }{ 2p } \\
\text{Combine fractions on LHS. 3p is the common denominator:} \\
\frac{ 5+2p }{ 3p } =\frac{ 5+p }{ 2p } \\
\text{Cancel p in denominator on both sides:} \\
\frac{ 5+2p }{ 3 } =\frac{ 5+p }{ 2 } \\
\text{Cross multiply:} \\
10 + 4p = 15 + 3p \\
4p-3p = 15 - 10 \\
p = 5
\]