Q11. - Algebra 1

Question

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

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

Step-by-Step Solution

Answer

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

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 m back 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.