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} (-13m)/(-13)=(-2)/(-13) \\ \Rightarrow m=(2)/(13) \end{gathered}`

Therefore, the equation has one solution, which is:

`m=(2)/(13)`