Question

Solve each equation. Check your solution.

$0.6a+9=14.4$

Short answer

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

Step-by-step solution

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.