Question

Which methods correctly solve for the variable x in the equation 2/5m = 8?

Answer 1

Ok, so the equation is (2/5)m=8

1st option: Divide by 2 on both sides, then multiply by 5 on both sides:

`\begin{gathered} (2)/(10)m=4 \\ (10)/(10)m=20 \\ m=20 \end{gathered}`

2nd option: Multiply both sides by 5/2

`\begin{gathered} (2)/(5)\cdot(5)/(2)m=8\cdot(5)/(2) \\ m=20 \end{gathered}`

3rd option: First dristibute 2/5 to (m=8), the multiply by 5/2 in both sides

`\begin{gathered} (2)/(5)m=8 \\ (5)/(2)\cdot(2)/(5)m=8\cdot(5)/(2) \\ m=20 \end{gathered}`

4th option: Divide both sides by 2/5:

`\begin{gathered} ((2)/(5))/((2)/(5))m=8\cdot(5)/(2) \\ m=20 \end{gathered}`

5th option: First, multiply by 5. Then, divide by 2.

`\begin{gathered} 5\cdot(2)/(5)m=40 \\ 2m/2=40/2 \\ m=20 \\ \end{gathered}`

All the methods are correct