Question

How do you solve `\frac { - 5} { 9} m = - 10`?

Answer 1

See a solution process below:

Explanation:

Multiply each side of the equation by the reciprocal of the coefficient of the `m` term or `color(red)(9)/color(blue)(-5)` to solve for `m` while keeping the equation balanced:

`color(red)(9)/color(blue)(-5) xx (-5)/9m = color(red)(9)/color(blue)(-5) xx -10`

`cancel(color(red)(9))/cancel(color(blue)(-5)) xx color(blue)(cancel(color(black)(-5)))/color(red)(cancel(color(black)(9)))m = color(red)(9)/cancel(color(blue)(-5)) xx color(blue)(cancel(color(black)(-10)))2`

`m = 9 xx 2`

`m = 18`