Solve for XYZ Given LMN: 0.5839, 0.1682, 0.2477

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The discussion centers on solving for variables XYZ using given values LMN (0.5839, 0.1682, 0.2477) in a mathematical equation. The participants clarify that LMN are merely labels for the values and do not imply multiplication. The formula T = (1/X + 1/Y + 1/Z) * 100 = 109.0699 is established, allowing for the calculation of X, Y, and Z using the relationships A = (1/(X*T))*100, B = (1/(Y*T))*100, and C = (1/(Z*T))*100. The notation confusion is addressed, emphasizing that L, M, and N are not multiplicative factors but rather identifiers for the values.

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antienor
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From the equation below,
how do we get the XYZ if the only numbers given are the LMN (0.5839, 0.1682, 0.2477)?
Thank you!

X = 1.57
Y = 5.45
Z = 3.70

T = (1/X+1/Y+1/Z)*100 = 109.0699

A = (1/ (X*T))*100 = (L) 0.5839
B = (1/ (Y*T))*100 = (M) 0.1682
C = (1/ (Z*T))*100 = (N) 0.2477
 
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I'm not sure if I understand your notation.

If you know (1/ (X*T))*100 = 0.5839 and T = 109.0699 then you can get X simply by multiplying both sides with X/0.5839. The other two variables work the same way.
 
mfb said:
I'm not sure if I understand your notation.

If you know (1/ (X*T))*100 = 0.5839 and T = 109.0699 then you can get X simply by multiplying both sides with X/0.5839. The other two variables work the same way.

Hi already edited my post. This clears everything? Thanks!
 
What does "= (L) 0.5839" mean? Is that a multiplication of L and 0.5839? Does that mean L has this value?
 
mfb said:
What does "= (L) 0.5839" mean? Is that a multiplication of L and 0.5839? Does that mean L has this value?

LMN is just like XYZ variables.
 
That doesn't answer my question. Is it a multiplication or something else?
Why are there brackets?

I just don't understand the notation.
 
mfb said:
That doesn't answer my question. Is it a multiplication or something else?
Why are there brackets?

I just don't understand the notation.

I see, my bad! L doesn't represent any numbers from the equation and that's not multiplication. I just put L so that I can tell people that I need to get the XYZ from those numbers 0.5839, 0.1682, 0.2477, LMN are just labels for these numbers. No other significant role in the equation.

Sorry for making a mess in the equation!
 
antienor said:
I see, my bad! L doesn't represent any numbers from the equation and that's not multiplication. I just put L so that I can tell people that I need to get the XYZ from those numbers 0.5839, 0.1682, 0.2477, LMN are just labels for these numbers. No other significant role in the equation.
Then you should write this as L = 0.5839, M = 0.1682, and N = 0.2477. When you write LMN or XYZ, most people would interpret these as L * M * N or X * Y * Z
 

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