Chapter 2.3, Problem 17P

Solve each equation. Check your answer.

$3p-4=31$

To determine

To find: The simplified form of the equation $3p-4=31$ and check the answer.

Answer to Problem 17P

The simplified form of the equation $3p-4=31$ is $p=\frac{35}{3}$ .

Explanation of Solution

Given:

The equation is $3p-4=31$ .

Calculation:

Simplify the equation $3p-4=31$ as follows:

  $\begin{array}{c}3p-4=31\\ 3p=31+4\\ 3p=35\\ p=\frac{35}{3}\end{array}$

Check answer as follows:

  $\begin{array}{c}3p-4=31\\ 3\left(\frac{35}{3}\right)-4=31\\ 35-4=31\\ 31=31\end{array}$

Thus, the simplified form of the equation $3p-4=31$ is $p=\frac{35}{3}$ .