Two questions that I've been getting nowhere with

[elcatracho]

Hello,
I have two questions that seem easy but I just can't figure out how to do them. The first question is how to simplify (x/2)/(x/4)

The other question is solve xy'+y=1+y' for y' I would really be thankful if I could get some assitance with these problems and finally solve them.. They have really been driving me nuts because they look so easy... maybe I am just making them harder than they really are. Thanks, Luis

 

[tkhunny]

The first question is how to simplify (x/2)/(x/4)

I'm a little curious how yo ugot to ADVANCED algebra while still struggling with this one.

(x/2)/(x/4) = (x/2)*(4/x) = (x/x)*(4/2) = 1*2 = 2

"Reciprocal and multiply" should ring a bell.

The other question is solve xy'+y=1+y' for y'

This one's a LITTLE trickier, but not much. Have you been doing your homework?

xy'+y=1+y'

Get them all on the same side

xy' - y' + y = 1

Move everything else to the other side

xy' - y' = 1 - y

Distributive Property of Multiplication over Addition (aka Factor it Out)

y'*(x - 1) = 1 - y

Divide

y' = (1-y)/(x-1)

You get only two free ones. Let's see your work on the next ones.