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

Sagot :

Starting with the equation:

[tex]-5m=8m-2[/tex]

Substract 8m from both sides:

[tex]\begin{gathered} -5m-8m=8m-2-8m \\ \Rightarrow-13m=-2 \end{gathered}[/tex]

Divide both sides by -13:

[tex]\begin{gathered} \frac{-13m}{-13}=\frac{-2}{-13} \\ \Rightarrow m=\frac{2}{13} \end{gathered}[/tex]

Therefore, the equation has one solution, which is:

[tex]m=\frac{2}{13}[/tex]

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