Solve the equation and check your result: 3m = 5m - 8 5 - Vidyadip

Question

Solve the equation and check your result: $3m = 5m - \frac{8}{5}$

✓

Answer

$3m = 5m - \frac{8}{5}$
$\therefore 3m = 5m - \frac{8}{5}$ ... [Transposing $5m$ to $L.H.S]$
$\therefore -2m = -\frac{8}{5}$
$\therefore m = \frac{{ - 8}}{{5 \times ( - 2)}} = \frac{4}{5}$ ... [Dividing both sides by $–2]$
this is the required solution.
Verification,
$L.H.S = 3 \times \frac{4}{5} = \frac{{12}}{5}$
$R.H.S. = 5\left( {\frac{4}{5}} \right) - \frac{{12}}{5} = 4 - \frac{8}{5} = \frac{{20 - 8}}{5} = \frac{{12}}{5}$
Therefore, $L.H.S = R.H.S$

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