How do you solve \frac { 19} { 7n + 16} = \frac { 4} { 9}?

2 Answers
Mar 3, 2018

n=107/28~~3.8214

Explanation:

use cross multiplication
19*9=4(7n+16)

distribute
171=28n+64

subtract 64 from both sides
107=28n

divide by 28
107/28=n

n~~ 3.8214

Mar 3, 2018

n=107/28

Explanation:

Hey!

So first step is to take the reciprocal of both sides.

(19)/(7n+16)=4/9

1/19(7n+16)=9/4

Then we multiply both sides by 19 to continue isolating n.

7n+16=171/4

Now we subtract 16 from both sides.

7n=107/4

Finally, we divide both sides by 7.

n=107/28

Good luck!