Chapter 2.3, Problem 9P

Solve each equation. Check your answer.

$-28+15-22z=31$

To determine

To find: The simplified form of the equation $-28+15-22z=31$ and check the answer.

Answer to Problem 9P

The simplified form of the equation $-28+15-22z=31$ is $z=-2$ .

Explanation of Solution

Given:

The equation is $-28+15-22z=31$ .

Calculation:

Simplify the equation $-28+15-22z=31$ as follows:

  $\begin{array}{c}-28+15-22z=31\\ -13-22z=31\\ -22z=31+13\\ z=-\frac{44}{22}\\ z=-2\end{array}$

Check answer as follows:

  $\begin{array}{c}-28+15-22\left(-2\right)=31\\ -13+44=31\\ 31=31\end{array}$

Thus, the simplified form of the equation $-28+15-22z=31$ is $z=-2$ .