Question

Tell whether the given value of the variable is a solution of the equation.

$-6m=-84;m=13$

Short answer

No, $m=13$ is not a solution for the given equation.

Step-by-step solution

Step 1. Given Information.

An equation: $-6m=-84$

Step 2. 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:

$\begin{array}{c}-6m=-84\left(\text{Givenequation}\right)\\ -6\left(13\right)=-84\left(\text{Substituting}m=13\right)\\ -78\ne -84\left(\text{Usingproperty}\left(-\right)\left(+\right)=\left(-\right)\right)\end{array}$

Step 3. Conclusion.

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