Q44. - Algebra 1

Question

Solve each equation. Check your solution.

$0.6a+9=14.4$

Step-by-Step Solution

Answer

The solution of the given equation is $a=9$.

Step 1. Write the given equation.

The given equation is “$0.6a+9=14.4$”.

Step 2. Solve the given equation.

Solving,

 

$0.6a+9=14.4$  (Given equation)

 

$0.6a+9-9=14.4-9$  (Subtract 9 from both sides)

 

$0.6a=5.4$  (Simplify)

 

$\frac{0.6a}{0.6}=\frac{5.4}{0.6}$  (Divide both sides by 0.6)

 

$a=9$  (Simplify)

 

So, $a=9$ is the solution of the given equation.

Step 3. Check the obtained solution.

Put $a=9$ in the given equation $0.6a+9=14.4$ to get,

 

$\begin{array}{l}0.6\left(9\right)+9=14.4\\ 5.4+9=14.4\\ 14.4=14.4\end{array}$

 

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.