Question

What is the answer for 5p+10 = 8p+1

Answer 1

The equation is given to be:

`5p+10\: =\: 8p+1`

We can solve for p using the following steps:

Step 1: Subtract 10 from both sides of the equation

`\begin{gathered} 5p+10-10=8p+1-10 \\ 5p=8p-9 \end{gathered}`

Step 2: Subtract 8p from both sides of the equation

`\begin{gathered} 5p-8p=8p-9-8p \\ -3p=-9 \end{gathered}`

Step 3: Multiply both sides by -1

`\begin{gathered} -1*(-3p)=-1*(-9) \\ 3p=9 \end{gathered}`

Step 4: Divide both sides by 3

`\begin{gathered} (3p)/(3)=(9)/(3) \\ p=3 \end{gathered}`

ANSWER:

`p=3`