Question

Solve the following equations and check the solutions obtained.

$4p+4=20$

Answer 1

Step 1: Solve the equation

We have, $4p+4=20$

Subtracting $4$ from both sides.

$$\begin{gathered} 4p+4-4=20-4 \\ \Rightarrow 4p=16 \end{gathered}$$

Dividing both sides by $4$

$$\begin{gathered} \frac{4p}{4}=\frac{16}{4} \\ \Rightarrow p=4 \end{gathered}$$

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

Step 2: Check the solution

Given equation is $4p+4=20$

At, $p=4$

$L.H.S.=4p+4=4\times 4+4=16+4=20$

and, $R.H.S.=20$

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

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