Question

What is the solution to the linear equation?

2/5+p=4/5+3/5p
p = 2
p = 8
p = 10
p=1

Answer 1

The answer is p=1

Answer 2

Okay we are going to simplify both sides of the equation:

\[p+\frac{ 2 }{ 5}= \frac{ 3 }{ 5 } p+ \frac{ 4 }{ 5 }\]

You are going to want to subtract 3/5p from both sides.

\[p+ \frac{ 2 }{ 5}− \frac{ 3 }{ 5} p= \frac{ 3 }{ 5} p+ \frac{ 4 }{ 5 } − \frac{ 3 }{ 5 }p\]

\[\frac{ 2 }{ 5 }p + \frac{ 2 }{ 5 }=\frac{ 4 }{ 5 }\]

Now subtract 2/5 from both sides:

\[\frac{ 2 }{ 5 }p~+\frac{ 2 }{ 5}~-\frac{ 2 }{ 5 }= \frac{ 4 }{ 5}-\frac{ 2 }{ 5 }\]

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

Next, Multiply both sides by 5/2
\[\left(\begin{matrix}5 \\ 2\end{matrix}\right) * \left(\begin{matrix}2 \\ 5\end{matrix}\right)p=\left(\begin{matrix}5 \\ 2\end{matrix}\right) * \left(\begin{matrix}2 \\ 5\end{matrix}\right)\]

Which gives you P=1.

Answer 3

\(\color{#0cbb34}{\text{Originally Posted by}}\) @QueenMo12345
The answer is p=1
\(\color{#0cbb34}{\text{End of Quote}}\)
Thank you very much !

Answer 4

\(\color{#0cbb34}{\text{Originally Posted by}}\) @Astrid1
Okay we are going to simplify both sides of the equation:


\[p+\frac{ 2 }{ 5}= \frac{ 3 }{ 5 } p+ \frac{ 4 }{ 5 }\]

You are going to want to subtract 3/5p from both sides.

\[p+ \frac{ 2 }{ 5}− \frac{ 3 }{ 5} p= \frac{ 3 }{ 5} p+ \frac{ 4 }{ 5 } − \frac{ 3 }{ 5 }p\]

\[\frac{ 2 }{ 5 }p + \frac{ 2 }{ 5 }=\frac{ 4 }{ 5 }\]

Now subtract 2/5 from both sides:

\[\frac{ 2 }{ 5 }p~+\frac{ 2 }{ 5}~-\frac{ 2 }{ 5 }= \frac{ 4 }{ 5}-\frac{ 2 }{ 5 }\]

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

Next, Multiply both sides by 5/2
\[\left(\begin{matrix}5 \\ 2\end{matrix}\right) * \left(\begin{matrix}2 \\ 5\end{matrix}\right)p=\left(\begin{matrix}5 \\ 2\end{matrix}\right) * \left(\begin{matrix}2 \\ 5\end{matrix}\right)\]

Which gives you P=1.
\(\color{#0cbb34}{\text{End of Quote}}\)
Thank you!!

Answer 5

Your Welcome!