Question

How do you solve `-\frac{2}{3} = \frac{3}{4} n - \frac{1}{3}`?

Answer 1

`n=-4/9`

Explanation:

We can rewrite the equation as follows.

`3/4n-1/3=-2/3larr" reversing the equation"`

add `1/3` to both sides.

`3/4ncancel(-1/3)cancel(+1/3)=-2/3+1/3`

`rArr3/4n=-1/3rArr(3n)/4=-1/3`

Multiplying both sides by 12 (LCM of 3 and 4 ) will eliminate the fractions.

`cancel(12)^3xx(3n)/cancel(4)^1=cancel(12)^4xx-1/cancel(3)^1`

`rArr9n=-4`

To solve for n, divide both sides by 9.

`(cancel(9) n)/cancel(9)=-4/9`

`rArrn=-4/9" is the solution"`