Question

Solve the following equations and check the solutions obtained.

$\frac{30p}{2}=60$

Answer 1

Step 1: Solve the equation

We have, $\frac{30p}{2}=60$

Multiply both the sides by $\frac{2}{30}$,

$$\begin{gathered} \frac{30p}{2}\times \frac{2}{30}=60\times \frac{2}{30} \\ \Rightarrow p=4 \end{gathered}$$

Hence, $p=4$ is the solution of the given equation.

Step 2: Check the solution

Given equation is $\frac{30p}{2}=60$

At, $p=4$

$L.H.S.=\frac{30p}{2}=\frac{30\times 4}{2}=60$

and, $R.H.S.=60$

Clearly, $L.H.S.=R.H.S.$

Hence, $p=4$ is the solution of the given equation.