Question

-5m=8m-2 what solution? one solution.. two solutions... no solutions.. infinite solutions.. which solution?

Answer 1

Starting with the equation:

$-5m=8m-2$

Substract 8m from both sides:

$\begin{gathered} -5m-8m=8m-2-8m \\ \Rightarrow-13m=-2 \end{gathered}$

Divide both sides by -13:

$\begin{gathered} \frac{-13m}{-13}=\frac{-2}{-13} \\ \Rightarrow m=\frac{2}{13} \end{gathered}$

Therefore, the equation has one solution, which is:

$m=\frac{2}{13}$