Chapter 8.1, Problem 33E

To determine

Whether $m=13$ is a solution for the given equation.

Answer to Problem 33E

  $m=13$ is not a solution for the given equation.

Explanation of Solution

Given:

An equation: $-6m=-84$

Calculation:

To check whether $m=13$ is a solution for the given equation or not, we will substitute $m=13$ in our given equation as shown below:

  $\begin{array}{l}-6m=-84\left(\text{Given equation}\right)\\ -6(13)=-84\left(\text{Substituting }m=13\right)\\ -78\ne -84\left(\text{Using property (}-)(+)=(-)\right)\end{array}$

Since both sides of equation are not equal, therefore, $m=13$ is not a solution for the given equation.