Question

How do you solve 3/2y = 16/y+2

Answer 1

First, multiply both sides by y to get rid of that y in the denominator. $y(\frac{3}{2} y)= y( \frac{16}{y} + 2)$
$\frac{3}{2}y^2= 16+2y$
Then, rearrange it to put it into standard form so you can easily see the values for a, b, and c.
$\frac{3}{2}y^2 +2y +16=0$
Plug into quadratic formula, and you get this result:
$y= \frac{2+/- \sqrt{100} }{3}$
So, y=4, y=8/3