Q30. - Algebra 1

Question

Solve each equation. Check your solution.

$-6\mathrm{m}-8=24$

Step-by-Step Solution

Answer

The solution of the given equation is $m=-\frac{16}{3}$.

Step 1. Write the given equation.

The given equation is “$-6m-8=24$”.

Step 2. Solve the given equation.

Solving,

 

$-6m-8=24$  (Given equation)

 

$-6m-8+8=24+8$  (Add 8 to both sides)

 

$-6m=32$  (Simplify)

 

$\frac{-6m}{-6}=\frac{32}{-6}$  (Divide both sides by $-6$)

 

$m=-\frac{16}{3}$  (Simplify)

 

So, $m=-\frac{16}{3}$ is the solution of the given equation.

Step 3. Check the obtained solution.

Put $m=-\frac{16}{3}$ in the given equation $-6m-8=24$ to get,

 

$\begin{array}{l}-6\left(-\frac{16}{3}\right)-8=24\\ -2\left(-16\right)-8=24\\ 32-8=24\\ 24=24\end{array}$

 

Since the value obtained on the left-hand side and right-hand side are equal, the obtained value is indeed a solution of the given equation.