Question

How do you solve `\frac { 3n } { 2} = \frac { - 9} { 10}`?

Answer 1

See a solution process below:

Explanation:

Multiply each side of the equation by `color(red)(2)/color(blue)(3)` to solve for `n` while keeping the equation balanced:

#color(red)(2)/color(blue)(3) xx (3n)/2 = color(red)(2)/color(blue)(3) xx (-9)/10#

`cancel(color(red)(2))/cancel(color(blue)(3)) xx (color(blue)(cancel(color(black)(3)))n)/color(red)(cancel(color(black)(2))) = (color(red)(2) xx -9)/(color(blue)(3) xx 10)`

`n = (-18)/30`

`n = -(6 xx 3)/(6 xx 5)`

`n = -(color(red)(cancel(color(black)(6))) xx 3)/(color(red)(cancel(color(black)(6))) xx 5)`

`n = -3/5`