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Solve 1/C=1/p+1/z for z.

2007-06-25 14:28:57 · 5 answers · asked by ashley_tisdale2006 2 in Science & Mathematics Mathematics

5 answers

Multiply everything by Cpz:
Cpz/C = Cpz/p + Cpz/z
pz = Cz + Cp
pz - Cz = Cp
z(p - C) = Cp
z = Cp/(p - C)

I'm sorry that I'm not Tom though...

2007-06-25 14:33:30 · answer #1 · answered by hawkeye3772 4 · 0 0

Multiply both sides by Cpz. Variables cancel out and you are left with pz = Cz + Cp. Subtract Cz from the right and place it on the left. You will then have pz - Cz = Cp. Factor out the z on the left side and you will have z(p - C) = Cp. Finally divide both sides by (p - C) and you will have the answer z = Cp/(p-C).

2007-06-25 21:40:35 · answer #2 · answered by Anonymous · 0 0

first you subtract 1/p on both sides:
1/C-1/p=1/z
then you multiply both sides by z:
z(1/C-1/p)=1
then divide both sides by(1/C-1/p):
z=1/(1/C-1/p)
finally you divide everything out:
z=c-p

I may not be Tom, but this is the right answer.

2007-06-25 21:39:28 · answer #3 · answered by Anonymous · 0 1

1/z = 1/C - 1/p
z/z = z(1/C - 1/p)
z = 1/(1/C - 1/p)

2007-06-25 21:31:20 · answer #4 · answered by yeeeehaw 5 · 0 0

1/C=1/p+1/z
1/C -1/p = 1/z
(p-C)/pC = 1/z
z = pC/(p-C)

2007-06-25 21:33:25 · answer #5 · answered by ironduke8159 7 · 0 0

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