Question

Solve the following equation and check your results.

3m = 5m - 8/5.
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Answer 1

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Answer 2

Solution :

3m = 5m - $\sf \frac {8}{5}$

$\sf 3m - 5m = - \frac{8}{5} \\ \\ \sf \cancel - \: 2m = \cancel{ - } \: \frac{8}{5} \\ \\ \sf 2m = \frac{8}{5} \\ \\ \sf 2m \times 5 = 8 \\ \\ \sf 10m = 8 \\ \\ \sf m = \frac{8}{10} = \frac{4}{5}$

Hence, the value of m is 4 / 5.

CHECK YOUR SOLUTION ;

Putting the value of m = 4 / 5,

$\sf 3m = 5m - \frac{8}{5} \\ \\ \sf 3 \times \frac{4}{5} = 5 \times \frac{4}{5} - \frac{8}{5} \\ \\ \sf \frac{12}{5} = 4 - \frac{8}{5} \\ \\ \sf \frac{12}{5} = \frac{12}{5}$

Hence, the value of m is 4 / 5.