Solve the following equation and also check your result in case: … - Vidyadip

Question

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

✓

Answer

$\frac{\text{a}-8}{3}=\frac{\text{a}-3}{2}$
$2\text{a}-16=3\text{a}-9$
$3\text{a}-2\text{a}=-16+9$
$\text{a}=-7$
Verification:
$\text{L.H.S.}=\frac{-7-8}{3}=\frac{-15}{3}=-5$
$\text{R.H.S.}=\frac{-7-3}{2}=\frac{-10}{2}=-5$
$\therefore\text{L.H.S.}=\text{R.H.S.}\text{ for a}=-7$

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