Question

Solve each equation. Check your solutions.

$\frac{p}{4}-3=9$

Short answer

The$p=48$ is the solution of the given equation.

Step-by-step solution

Step 1. Given information.

We have an equation $\frac{p}{4}-3=9$.

To find the solution of the given equation and check the solution.

Step 2. Calculation.

Solving the given equation:

$\begin{array}{l}\frac{p}{4}-3=9\\ \Rightarrow \frac{p}{4}=9+3\\ \Rightarrow \frac{p}{4}=12\\ \Rightarrow p=12\times 4\\ \Rightarrow p=48\end{array}$

Step 3. Check the Solution.

We substitute the$p=48$ in the given equation.

$\begin{array}{l}\frac{p}{4}-3=9\\ \Rightarrow \frac{48}{4}-3=9\\ \Rightarrow 12-3=9\\ \Rightarrow 9=9\\ \Rightarrow L.H.S.=R.H.S.\end{array}$

Hence, the$p=48$ is the solution of the given equation.