Question

Can someone help me solve this? Please explain the process :)

Answer 1

So, what have you tried so far?

Answer 2

Well, I've gotten all the way to where I could factor it out, but it's coming out to weird numbers so I'm messing up somewhere in the process.

Answer 3

ok, show me what you have done, and I can see what has occurred

Answer 4

Here, let me try and write out my process :) Just a minute. thanks!

Answer 5

Don't be surprised if you have a fractional answer though

Answer 6

try using the equation button or just typing instead of drawing. just use division and parentheses to show the fractions

Answer 7

\[4(y-1)(y+1)(5/y-1)-4(y-1)(y+1)(1/4)=4(y-1)(y+1)(3/y+1)\]

Answer 8

4(5)(y+1)-1(y-1)(y+1)=4(3)(y+1)

Answer 9

20y+20-y^2+1=12y+12

Answer 10

ok so what was your first step?

Answer 11

finding the LCD

Answer 12

ok, so my recommendation is to get rid of the fractions first(ie lcd), what was your lcd?

Answer 13

4(y-1)(y+1)

Answer 14

good, now your multiplication of both sides by that lcd is where I see an error

Answer 15

so I turned 1/4 into .25 so I didn't need the 4:
\[\frac{5}{y-1}-.25=\frac{3}{y+1}\\ (y^2-1)[\frac{5}{y-1}-.25]=(y^2-1)[\frac{3}{y+1}]\\ 5(y+1)-.25(y^2-1)=3(y-1)\]

Answer 16

so try it from there now. You just cancelled incorrectly, but you have the right idea. Let me know what you get

Answer 17

you should get pretty whole number answers

Answer 18

Ah, sorry. I got confused with that.

Answer 19

You just didn't use .25 as part of the lcd?

Answer 20

nope, it isn't necessary to. Since 1/4=.25, I didn't use it, but the issue was you had y+1 on the right hand side instead of y-1

Answer 21

Ah ok. Yeah, I actually did that just on here, but on my own work i used y-1 and the answer was still weird?

Answer 22

I got 0=y^2-8y-33

Answer 23

that's right

Answer 24

you just need to factor it now

Answer 25

0=(y+___)(y-___)

Answer 26

oh! it is right? xD Dangit. I had that answer forever ago haha

Answer 27

You just have to factor to get the 2 answers for y

Answer 28

(y-11)(y+3)

Answer 29

y= 11,-3

Answer 30

That is math for ya, making you think you are wrong even when you are right,

Answer 31

Yepp yepp

Answer 32

haha ikr. Thank you soo much. I'm sorry that took so long! You're a champ

Answer 33

No problem, and thanks. Any time someone is willing to put the effort in, I have no problem helping. Feel free to tag me for assistance when needed :)

Answer 34

^-^