Question

Solve the equation. Check your solution.

$3(3w–4)=-20$

Answer 1

Step 1 : Solving the equation

We have,

$\Rightarrow 3(3w–4)=-20$

$\Rightarrow \frac{3(3w–4)}{3}=\frac{-20}{3}$ [ Divide both sides by $3$]

$\Rightarrow (3w–4)=\frac{-20}{3}$

$\Rightarrow 3w–4+4=\frac{-20}{3}+4$ [ Add $4$ to both sides ]

$\Rightarrow 3w=\frac{-20+(4\times 3)}{3}$

$\Rightarrow 3w=\frac{-20+12}{3}$

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

$\therefore w=\frac{-8}{9}$ [ Divide both sides by $3$ ]

Step 2 : Checking the solution

Check the solution by putting $w=\frac{-8}{9}$ in the given inequality

We have,

$\Rightarrow 3(3w–4)=-20$

$\Rightarrow 3\left(3\right(\frac{-8}{9})–4)=-20$

$\Rightarrow 3\frac{\left(-8-12\right)}{3}=-20$

$$\begin{gathered} \Rightarrow -20=-20 \\ \Rightarrow \mathrm{LHS}=\mathrm{RHS} \end{gathered}$$

Hence, the required solution is$w=\frac{-8}{9}$