Question

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

Answer 1

Step 1: Solve the given equation by Rearranging and combining the like terms.

$\begin{array}{l}3m=5m-\frac{8}{5}\\ \Rightarrow 5m-3m=\frac{8}{5}\\ \Rightarrow 2m=\frac{8}{5}\\ \Rightarrow m=\frac{8}{5\times 2}\\ \Rightarrow m=\frac{4}{5}\end{array}$

Step 2: Verify the result by substituting $m=\frac{4}{5}$in the given equation.

$\begin{array}{l}3m=5m-\frac{8}{5}\\ \Rightarrow 3\times \frac{4}{5}=5\times \frac{4}{5}-\frac{8}{5}\\ \Rightarrow \frac{12}{5}=\frac{20}{5}-\frac{8}{5}\\ \Rightarrow \frac{12}{5}=\frac{20-8}{5}\\ \Rightarrow \frac{12}{5}=\frac{12}{5}\\ \Rightarrow \mathrm{LHS}=\mathrm{RHS}\end{array}$

Hence the solution of $3m=5m-\frac{8}{5}$is $m=\frac{4}{5}$and it is verified.