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Old 01-06-2012, 11:06 AM   #1
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Algebra help...

I've got a problem that I need to solve for an unknown variable. I am given 2 multiple choice answers, and can't seem to get either answer. I've tried working backwards as well as can't come back to the original equation... Anyone able to help me out?

here is the equation:

i= AB / Ar+R

Solve for A:

the two answers provided are;

1) A = (-iR) / ir+B

2) A = ir / B-iR

I've been scratching my head for over an hour...
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Old 01-06-2012, 11:23 AM   #2
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Is this a troll post?
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Old 01-06-2012, 11:27 AM   #3
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Old 01-06-2012, 11:35 AM   #4
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The challenge is that "A" appears twice in that equation... I'm stumped too.
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Old 01-06-2012, 11:37 AM   #5
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looks likes it was suppose to be one, but something is weird, hold up. let me work it out
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Old 01-06-2012, 11:40 AM   #6
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...

Last edited by noventa; 01-06-2012 at 12:01 PM.
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Old 01-06-2012, 11:42 AM   #7
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i=AB/(Ar+R)
i(Ar+R)=AB
Ari+Ri=AB
ARi-AB=-Ri
A(Ri-B)=-Ri
A=-Ri/(Ri-B)
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Old 01-06-2012, 11:45 AM   #8
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Ahhh that's right... embarrassed I didn't think of moving Ari & AB to one side so that I can factor A out.
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Old 01-06-2012, 11:49 AM   #9
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one time in Calculus One long ago I remember getting screwed over by a question like that. After that, I never forgot that technqiue every again, haha.
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Old 01-06-2012, 11:50 AM   #10
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Last edited by noventa; 01-06-2012 at 12:01 PM.
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Old 01-06-2012, 11:53 AM   #11
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lol didn't notice the two different Rs....
yeah the answer doesn't match up with any of the choices

Last edited by Oleophobic; 01-06-2012 at 12:00 PM.
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Old 01-06-2012, 11:54 AM   #12
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it's 50/50

just guess
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Old 01-06-2012, 11:55 AM   #13
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yeah looks like even if you factor it out the negative, the numerator changes sign which is incorrect.

Last edited by noventa; 01-06-2012 at 12:07 PM.
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Old 01-06-2012, 12:17 PM   #14
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i = AB/Ar+R

multiply both sides by Ar+R

i(Ar+R) = AB

expand...

iAr + iR = AB

subtract iR from both sides

iAr = AB - iR

now subtract the AB from both sides

-AB + iAr = -iR

isolate the A

A(-B + ir) = -iR

divide both sides by (-B + ir)

A = -iR/(-B+ir)

factor out the negative

A = -1 iR / -1 (B-ir)

and since -1/-1 = 1

A = iR / (B-ir)


Thanks for all the help.
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Old 01-06-2012, 12:25 PM   #15
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NP, math is fun!!
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Old 01-06-2012, 04:21 PM   #16
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Old 01-06-2012, 04:24 PM   #17
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Old 01-06-2012, 10:27 PM   #18
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bet you 80% of revscene user's facial expression is this ( )when reading that equation
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Old 01-07-2012, 12:34 AM   #19
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bet you 80% of revscene user's facial expression is this ( )when reading that equation
na we used this
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Old 01-07-2012, 01:55 AM   #20
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na we used this
its this then this
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