solve the equation. 1/ 3x + 9 - 2/ x + 3 = 2

- anonymous

solve the equation. 1/ 3x + 9 - 2/ x + 3 = 2

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- anonymous

\[\frac{ 1 }{ 3x + 9 } - \frac{ 2 }{ x + 3 } = 2\]

- Jhannybean

oh okay.

- anonymous

?

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## More answers

- Luigi0210

you got this?

- anonymous

No. I don't know why she said oh okay.

- bahrom7893

I GOT THIS YALL!

- Jhannybean

No lol. im guessing we're going to multiply the fractions with the denominators of both... can't find an easy common denominator :(

- Luigi0210

Alright,YEA BAHROM!

- Luigi0210

here I'll start you guys off:|dw:1370400070613:dw|

- bahrom7893

http://www.reactiongifs.com/wp-content/uploads/2012/12/you-got-it-dude.gif

- anonymous

Could you try using the equation editor? That's super hard to read

- anonymous

lol @bahrom7893

- Luigi0210

Ha, your awesome Bahrom
\[\frac{ 1 }{ 3x+9 }*(3x+9)-\frac{ 2 }{ x+3 }*(3x+9)=2(3x+9)\]

- anonymous

Now what?

- Luigi0210

multiply it out, what do you get?

- anonymous

I don't know how. so many numbers. so confused.

- Luigi0210

|dw:1370400991389:dw|

- anonymous

1- 6 = 2(3x +4)?

- Luigi0210

that's a 9 sorry :P

- anonymous

It's okay. So, 1 - 6 = 2(3x + 4). Now what?

- Luigi0210

1-6=2(3x+9)
Distribute and solve :)

- anonymous

Idk how to distribute. I thought I told you that. lol

- Jhannybean

wait...
\[\large \frac{ 1 }{ 3x+9 }*(3x+9)-\color{red}{\frac{ 2 }{ x+3 }*(3x+9)}=2(3x+9)\]how did you cancel out the denominator there? The highlighted part.

- Luigi0210

Where have you been? D:
and factor out a 3: 3(x+3)

- Jhannybean

woudn't you still have 3 left over?...

- Luigi0210

yup so multiply to the 2

- Jhannybean

2/ (x+3) * [(3x+9)/3(x+3)] = 2(3x+9)/3?

- Luigi0210

\[\frac{ 2 }{ x+3 }*3x+9=\frac{ 2(3)(x+3) }{ x+3 }\]

- Jhannybean

\[\frac{2}{\cancel{x+3}}*\frac{3\cancel{(x+3)}}{3(x+3)}= \frac{6}{3(x+3)}= \frac{2}{x+3}\]

- Luigi0210

|dw:1370401905448:dw|
Sorry we've been ignoring you @Anonymous120 D:

- Jhannybean

oh okay nvm then.

- anonymous

It's okay

- Luigi0210

I think I messed up somewhere.. Got a fraction answer :/

- anonymous

Answer choices are
a. x=1
b. x= -23/6
c. x= -5/2
d. x= -5

- whpalmer4

\[\frac{1}{3x+9}-\frac{2}{x+3} = 2\]Notice that \(3x+9 = 3(x+3)\). Multiply both sides by \(3(x+3)\) to remove fractions:
\[\frac{1}{\cancel{3x+9}}*\cancel{(3(x+3))}-\frac{2}{\cancel{x+3}}*(3\cancel{(x+3)}) =2*3(x+3)\]\[1-2*3=2*3(x+3)\]\[-5=6x+18\]\[6x=-23\]\[x=\]

- johnweldon1993

right @Luigi0210 I think you got it right! :)

- Luigi0210

Okay, i was wondering if I did something wrong.. thanks for the support

- whpalmer4

Yep, you got it right, and given how often textbook problems come out to have nice, round answers, it's understandable that you were suspicious. Personally, I think students would be better off if they had a few more problems with answers like -23/6 and not quite so many with answers like 2 :-)

- Luigi0210

Yea, thanks Palmer and John :)

- Jhannybean

\[\large \frac{ 1 }{ 3x + 9 } - \frac{ 2 }{ x + 3 } = 2\]\[\large \frac{ 1 }{ 3x+9 }*\frac{{3x+9}}{3x+9}-{\frac{ 2 }{ x+3 }*\frac{3x+9}{3x+9}}\]\[\large \frac{1}{3x+9}-\frac{6}{3x+9}=2\]\[\large \frac{-5}{3x+9}=2\]\[\large -5=2(3x+9)\]\[\large -5=6x+18\]\[\large -23=6x\]

- Jhannybean

lol..... John :)

- anonymous

So it's -23/6?

- Luigi0210

And thank you too Jhann :P

- Luigi0210

that would be correct

- anonymous

Thank you all so much. If I could give everyone medals I would lol

- Jhannybean

lol np

- Jhannybean

Your problems are so ridiculously long :\

- Luigi0210

I'll take metal.. I prefer Ag

- Jhannybean

AUUUUUUU

- Luigi0210

*Au

- Luigi0210

err -_-

- anonymous

@Luigi0210 comment on one of my old questions with no best response and I'll give you a medal

- johnweldon1993

lol nice attempt @Luigi0210 :P

- Luigi0210

Haha, you can't blame me for trying :)

- Luigi0210

And naw, I'd rather earn them honestly

- anonymous

http://openstudy.com/users/anonymous120#/updates/51ae9e2de4b05b167ed21b6b I woulda given you the orginal medal but somehow you already got 3 lol. And you definetly did earn it! Teaching me is not easy!

- Luigi0210

Good day everyone!

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