Question

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

Answer 1

`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`

Answer 2

`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!