Solving for C

  • Thread starter Wumbolog
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  • #1
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##V=C-\frac{C-S}{L}N##
Solve for C
I am extremely frustrated and have made countless attempts at this.

I would really appreciate a step by step on this. Thanks.
 

Answers and Replies

  • #2
phyzguy
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Try this:

(1) Get all terms with C in them on one side of the equation, and all terms without C on the other side. In other words:

Terms with C = Terms without C

(2) Use the distributive law to write the equation as:

C*(Something without C) = Something else without C

(3) Divide both sides by (Something without C) so you have:

C = (Something else without C) / (Something without C)

Hope this helps.
 
  • #3
NascentOxygen
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##V=C-\frac{C-S}{L}N##
Solve for C
I see an equation comprising 3 terms (one on the left of the equals sign, and two on the right hand side). What does it look like if you multiply each of those 3 terms by L?
 
  • #4
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##V=C-\frac{C-S}{L}N##

##LV=LC-C-SN##

##\frac{LV}{C}=L-SN##

##C=\frac {L-SN}{LV}##

but apparently this is wrong...

the book gives ##C=\frac{LV-SN}{L-S}##
 
Last edited:
  • #5
Borek
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[tex]\frac {C-S}{L} N = \frac {(C-S)N}{L}[/tex]

Do you see it now?
 
  • #6
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Here's what I get:

V = C - N(C-S)/L | * L
LV = LC - NC + NS
LC - NC = LV - NS
C = (LV - NS)/(L-N)

So I have almost the same answer as the book, but I don't even begin to comprehend how an S can ever wind up as part of the demoninator.
 
  • #7
Ray Vickson
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##V=C-\frac{C-S}{L}N##

##LV=LC-C-SN##

##\frac{LV}{C}=L-SN##

##C=\frac {L-SN}{LV}##

but apparently this is wrong...

the book gives ##C=\frac{LV-SN}{L-S}##
You should have ##LV = LC -CN + SN##. Do you see the two errors you made in line 2? Can you see why it is wrong to go from the line
[tex] LV = LC - C - SN[/tex] (which, by itself, is wrong) to
[tex] \frac{LV}{C}=L-SN ?[/tex] Would you say it is correct to go from ##5\times 3 - 3 - 4\times 2## to ##3 \times (5 - 4 \times 2)?## You are claiming these are the same!
 
  • #8
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Thanks guys I finally got it. And the denominator should have been L-N, my mistake.
 

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