How do you solve $24/5=9/(y+2)$ and find any extraneous solutions?

Question

1497 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-07-30T09:13:13

$y=-1/8$

$24/5=9/(y+2)$
or
$y+2=((5)(9))/24$
or
$y+2=45/24$
or
$y+2=15/8$
or
$y=15/8-2$
or
$y=(15-16)/8$
or
$y=-1/8$

How do you solve 24/5=9/(y+2)24/5=9/(y+2) and find any extraneous solutions?