Question

Solve each equation. Check your solution. (Lesson 2-3)

$\frac{m}{6}-3=8$

Short answer

Solution of the given equation is $m=66$.

Step-by-step solution

Step 1. Given equation.

$\frac{m}{6}-3=8$

Step 2. Description of step.

Solving the given equation to find the value of m as,

$\begin{array}{c}\frac{m}{6}-3=8\\ \Rightarrow \frac{m}{6}=8+3\\ \Rightarrow \frac{m}{6}=11\\ \Rightarrow m=11\times 6\\ \Rightarrow m=66\end{array}$

Step 3. Check solution.

In order to check the solution, put the value of mback in the given equation and see if it satisfies the equation, i.e. of left hand side is equals to right hand side, as:

$\begin{array}{c}\frac{m}{6}-3=8\\ \Rightarrow \frac{66}{6}-3=8\\ \Rightarrow 11-3=8\\ \Rightarrow 8=8\\ \text{True}\end{array}$

Hence, the solution $m=66$satisfies the equation.