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If $3 m = 5 m - \frac{8}{5}$ , then choose the value of m from the given options which is the solution of the given equation.

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\frac{2}{5}

\frac{3}{5}

\frac{4}{5}

\frac{1}{5}

answer is C.

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Detailed Solution

The given linear equation is as follows,

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

.
We will first multiply each side by 5 and simplify as follows,

\begin{matrix} (5 \times 3 m) = (5 \times 5 m) - \frac{5 \times 8}{5} \\ 15 m = 25 m - 8 \\ 15 m - 25 m = 25 m - 8 - 25 m \\ - 10 m = - 8 \end{matrix}

\begin{matrix} \frac{- 10 m}{- 10} = \frac{- 8}{- 10} \\ m = \frac{4}{5} \end{matrix}

Therefore,

m = \frac{4}{5}

is the solution of

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

.
Hence, (3) is the correct option.

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