Question

How do you solve `-3/7m=3/9`?

Answer 1

`m=-7/9`

Explanation:

`-3/7m=3/9`
`m=3/9xx-7/3`
`m=cancel(3)/9xx-7/cancel(3)`
`m=-7/9`

Answer 2

`m=-7/9`

Explanation:

To isolate `m`, you must get rid of its coefficient, `3/7`. To undo a fraction, multiply by its reciprocal. To keep the equation balanced, you must multiply BOTH sides by the reciprocal.
`color(purple)(7/3)*-3/7m=3/9*color(purple)(7/3)`

Cancel out the coefficient, but remember to leave the negative because it didn't get cancelled.
`cancelcolor(purple)(7/3)*-cancel(3/7)m=3/9*color(purple)(7/3)`
`-m=3/9*color(purple)(7/3)`

Multiply out the right side.
`-m=21/27`

Multiply by `-1` on both sides to undo the negative and isolate `m`.
`color(red)(-1)*-m=21/27*color(red)(-1)`
`m=-21/27`

Simplify.
`m=-21/27`
`m=-7/9`