Question

simplify the complex rational expression
6x+ 3/y divided by 9x+3/y

Answer 1

I got (2x+1)/(3x+1)

Answer 2

\[(6xy+3)/y \div (9xy+3)/y\]
Take reciprocal of 9xy... and it becomes:
\[(6xy+3)/y \times y/(9xy+3)\]

Answer 3

ys cancel and it becomes:
\[(6xy+3) \div (9xy+3)\]
take 3 common and you're left with
\[(2xy+1) \div (3xy+1)\]

Answer 4

on the top only the 3 is divided by y. and on the bottom the whole 9x+3 is divided by y

Answer 5

\[6x+(3/y)/(9x+3)/y \]

Answer 6

uh oh, you should've writeen it like that..

Answer 7

yeah getting it to the computer is challenging still.. I wish I could just take a snap shot. lol

Answer 8

Put this in equation form so It's easier to read.

Answer 9

Or draw it.

Answer 10

\[-6/(y+2)(y+3)/[2/(y+3)]+[3/(y+2)]\] better?

Answer 11

The original question was
\[\frac{ 6x+3 }{ y }\div \frac{ 9x+3 }{ y }\]

Answer 12

?

Answer 13

\[\frac{ -6 }{ (x+2)(x+3) }\div \frac{ 2 }{ (y+3) }- \frac{ 3 }{ (y+2) }\] these are stacked on top of each other not written out like this

Answer 14

number 8.

Answer 15

for number 8 i got
(2x+1)
_______
(3x+1)

Answer 16

Not too sure. I'm getting\[\frac{ 6xy+3 }{ 9x+3 }\]

Answer 17

was your LCD y

Answer 18

y/1 for everything

Answer 19

OHHHHHHH you have to take the LCD and multiply 6 by it as well..

Answer 20

Why?

Answer 21

well isnt that what you do when you multiply by the LCD? you have to multiply all parts of the equation

Answer 22

that's what i did. y/1 for everything

6x times y/1=6xy
3/y times y/1=3

9x+3/y times y/1=9x+3

Answer 23

okay.. that makes sense. I now have to go back through this assignment and fix all my answers because I didn't do this. :D

Answer 24

\[\frac{ 2xy+1 }{ 3x+1 }\]

Answer 25

the most simplified answer i can get

Answer 26

after i divide my original answer by 3

Answer 27

ok thanks for your help :)

Answer 28

i am fairly confident about my answer, but i hope someone checks it

Answer 29

Honestly its just a homework assignment so well be going through them tomorrow am in class, so if its not right i can see why and then go from there. Im sure its right. lol your probably in a higher math class then I am anyways haha

Answer 30

im in algebra 2/trig

Answer 31

we were just learning this

Answer 32

everytime i attempt to solve problems l get 9/10 steps correct then one wrong

i hope it wasn't in this case

Answer 33

@Nnesha

Answer 34

yes which one ?? give me question

Answer 35

scroll up there is an attachment #8

Answer 36

question 8 n the file right ??

Answer 37

yes

Answer 38

okay lets see

Answer 39

thanks Nnesha

Answer 40

yes @dtan5457 right :)

Answer 41

wooo thank you!

Answer 42

yes that's suppose to be 2xy

Answer 43

bec
oky i just did the top part
remember when you multiply variables you should add their exponents
so that's why Y^2