Question

Solve the equation. Check your solution.

$\frac{w}{3}=-9$

Answer 1

Step 1 : Solve the equation

We have,

$$\begin{gathered} \Rightarrow \frac{w}{3}=-9 \\ \Rightarrow \frac{w}{3}\times 3=-9\times 3[\mathrm{Multiplying}\mathrm{both}\mathrm{sides}\mathrm{by}3] \\ \therefore w=-27 \end{gathered}$$

Step 2 : Check the solution

Put the value of $w$ in the given equation

$$\begin{gathered} \Rightarrow \frac{-27}{3}=-9 \\ \Rightarrow -9=-9 \\ \therefore \mathrm{LHS}=\mathrm{RHS} \end{gathered}$$

Hence, the value of $w$ is $-27$.