Question

Solve the equation. Check your solution.

$\frac{\mathbf{a}}{\mathbf{8}}\mathbf{=}\mathbf{4}$

Short answer

The solution for the equation $\frac{a}{8}=4$ is$a=32$.

Step-by-step solution

– Solve the equation

Write the original equation and separate the variables.

$\begin{array}{c}\frac{a}{8}=4\text{(Writeoriginalequation)}\\ 8\left(\frac{a}{8}\right)=8\left(4\right)\text{(Multiplyeachsideby}8\text{)}\\ a=32\text{(Simplify)}\end{array}$

– Check the solution 

To check the solution, substitute the value in the original equation and observe the result.

$\begin{array}{l}\frac{a}{8}\text{(WriteLeft-handsideoftheequation)}\\ \frac{32}{8}\text{(Substitute}a=32\text{)}\\ 4\text{(Simplify)}\end{array}$

This signifies that the solution is correct.