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Question
Solve the following equation and also check your result:
\[\frac{a - 8}{3} = \frac{a - 3}{2}\]
Short Note
Sum
Solution
\[\frac{a - 8}{3} = \frac{a - 3}{2}\]
\[\text{ or }2a - 16 = 3a - 9\]
\[\text{ or }3a - 2a = - 16 + 9\]
\[\text{ or }a = - 7 \]
\[\text{ Verification: }\]
\[\text{ L . H . S .} = \frac{- 7 - 8}{3} = \frac{- 15}{3} = - 5\]
\[\text{ R . H . S . }= \frac{- 7 - 3}{2} = \frac{- 10}{2} = - 5\]
∴ L.H.S. = R.H.S. for a = - 7
\[\text{ or }2a - 16 = 3a - 9\]
\[\text{ or }3a - 2a = - 16 + 9\]
\[\text{ or }a = - 7 \]
\[\text{ Verification: }\]
\[\text{ L . H . S .} = \frac{- 7 - 8}{3} = \frac{- 15}{3} = - 5\]
\[\text{ R . H . S . }= \frac{- 7 - 3}{2} = \frac{- 10}{2} = - 5\]
∴ L.H.S. = R.H.S. for a = - 7
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