Question

Find the value or values of the P that make the equation true for each of the following hint use inverse operation s ^2p - 2 = p+5.

Answer 1

To solve for p, first, add 2 to both sides of the equation

`\begin{gathered} 2p-2=p+5 \\ 2p-2+2=p+5+2 \\ 2p=p+7 \end{gathered}`

Now, subtract p from both sides of the equation

`\begin{gathered} 2p-p=p+7-p \\ p=7 \end{gathered}`

Therefore, the value of p that makes the equation true is

`p=7`

Verifying

`\begin{gathered} 2p-2=p+5 \\ 2\cdot7-2=7+5 \\ 14-2=12 \\ 12=12 \end{gathered}`