Question

Solve the equation. Check your solution.

$-8=1.3\mathrm{m}-2.1\mathrm{m}$

Answer 1

Step 1 : Solve the equation

We have, $-8=1.3\mathrm{m}-2.1\mathrm{m}$

$$\begin{gathered} \Rightarrow -8=-0.8\mathrm{m} \\ \Rightarrow \mathrm{m}=\frac{\cancel{-}8}{\cancel{-}0.8}[\mathrm{Divide}\mathrm{both}\mathrm{sides}\mathrm{by}(-8)] \\ \Rightarrow \mathrm{m}=\frac{80}{8}[\mathrm{Divide}\mathrm{and}\mathrm{multiply}\mathrm{by}10] \\ \therefore \mathrm{m}=10 \end{gathered}$$

Step 2 : Check the solution

Put the value of $\mathrm{m}$ in the given equation

$$\begin{gathered} \Rightarrow -8=1.3\times \left(10\right)-2.1\left(10\right) \\ \Rightarrow -8=13-21 \\ \Rightarrow -8=-8 \\ \therefore \mathrm{LHS}=\mathrm{RHS} \end{gathered}$$

Hence, the value of $\mathrm{m}$ is $10$.