Question

Solve each of the following equation and also check your result in each case:
$\frac{a-8}{3}=\frac{a-3}{2}$

Answer 1

$$\begin{gathered} \frac{\mathrm{a}-8}{3}=\frac{\mathrm{a}-3}{2} \\ \mathrm{or}2\mathrm{a}-16=3\mathrm{a}-9 \\ \mathrm{or}3\mathrm{a}-2\mathrm{a}=-16+9 \\ \mathrm{or}\mathrm{a}=-7 \\ \mathrm{Verification}: \\ \mathrm{L}.\mathrm{H}.\mathrm{S}.=\frac{-7-8}{3}=\frac{-15}{3}=-5 \\ \mathrm{R}.\mathrm{H}.\mathrm{S}.=\frac{-7-3}{2}=\frac{-10}{2}=-5 \end{gathered}$$

$\therefore$ L.H.S. = R.H.S. for a = $-$7