Question

Solve each of the following equation and also verify your solution:
$\frac{x}{2}+\frac{x}{8}=\frac{1}{8}$

Answer 1

$$\begin{gathered} \frac{\mathrm{x}}{2}+\frac{\mathrm{x}}{8}=\frac{1}{8} \\ \mathrm{or}\frac{4\mathrm{x}+\mathrm{x}}{8}=\frac{1}{8} \\ \mathrm{or}\frac{5\mathrm{x}}{8}=\frac{1}{8} \\ \mathrm{or}\mathrm{x}=\frac{1}{8}\times \frac{8}{5}=\frac{1}{5} \\ \mathrm{Verification}: \\ \mathrm{L}.\mathrm{H}.\mathrm{S}.=\frac{1}{2}\times \frac{1}{5}+\frac{1}{8}\times \frac{1}{5}=\frac{1}{10}+\frac{1}{40}=\frac{5}{40}=\frac{1}{8}=\mathrm{R}.\mathrm{H}.\mathrm{S}. \end{gathered}$$