Question

Solve the following equations and check the solutions obtained.

$5m+7=17$

Answer 1

Step 1: Solve the equation

We have, $5m+7=17$

Subtracting $7$ from both the sides,

$$\begin{gathered} 5m+7=17 \\ \Rightarrow 5m+7-7=17-7 \\ \Rightarrow 5m=10 \end{gathered}$$

Dividing both the sides by $5$

$$\begin{gathered} \frac{5m}{5}=\frac{10}{5} \\ \Rightarrow m=2 \end{gathered}$$

Hence, $m=2$ is the solution of the given equation.

Step 2: Check the solution

Given equation is $5m+7=17$

At, $m=2$

$L.H.S.=5m+7=5\times 2+7=17$

and, $R.H.S.=17$

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

Hence, $m=2$ is the solution of the given equation.