Question

Solve the equation. Check your solution.

$\frac{x}{3}=–8$

Answer 1

Step 1 : Solve the inequality

We have,

$\Rightarrow \frac{x}{3}=-8$

$\Rightarrow \frac{x}{3}\times 3=–8\times 3$ [ Multiply by $3$ both sides ]

$\therefore x=-24$

Step 2 : Checking the solution

Check the solution by putting $x=-24$ in the given inequality

$\Rightarrow \frac{x}{3}=–8$

$$\begin{gathered} \Rightarrow \frac{-24}{3}=–8 \\ \Rightarrow -8=-8 \\ \Rightarrow \mathrm{LHS}=\mathrm{RHS} \end{gathered}$$

Hence, the required solution is $x=-24$