Question

Solve the equation. Check your solution.

$-5.4z=-32.4$

Answer 1

Step 1 : Solve the inequality

We have,

$\Rightarrow -5.4z=-32.4$

$$\begin{gathered} \Rightarrow \frac{-5.4z}{-5.4}=\frac{-32.4}{-5.4} \\ \Rightarrow z=6 \end{gathered}$$ [ Divide both sides by $-5.4$ ]

Step 2 : Checking the solution:

Check the solution by putting $z=6$ in the given inequality;

$$\begin{gathered} -5.4\times 6=-32.4 \\ \Rightarrow -32.4=-32.4 \\ \Rightarrow \mathrm{LHS}=\mathrm{RHS} \end{gathered}$$

Hence, required solution is $z=6$.