Solve for XYZ Given LMN: 0.5839, 0.1682, 0.2477

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In summary: So to avoid confusion, it's better to write it out explicitly.In summary, the conversation discusses how to get the values of X, Y, and Z from the given numbers L = 0.5839, M = 0.1682, and N = 0.2477. The formula T = (1/X+1/Y+1/Z)*100 = 109.0699 is used, and the speaker explains that by knowing (1/(X*T))*100 = 0.5839 and T = 109.0699, one can get the value of X by multiplying both sides with X/0.5839. The same method can be applied to find
  • #1
antienor
5
0
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
 
Last edited:
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  • #2
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.
 
  • #3
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!
 
  • #4
What does "= (L) 0.5839" mean? Is that a multiplication of L and 0.5839? Does that mean L has this value?
 
  • #5
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.
 
  • #6
That doesn't answer my question. Is it a multiplication or something else?
Why are there brackets?

I just don't understand the notation.
 
  • #7
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!
 
  • #8
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
 

Related to Solve for XYZ Given LMN: 0.5839, 0.1682, 0.2477

1. What does LMN represent in the given equation?

LMN represents three unknown variables in the equation, which need to be solved for.

2. How do you solve for XYZ given the values of LMN?

To solve for XYZ, we need to use algebraic methods such as substitution or elimination. We can substitute the values of LMN into the equation and solve for the remaining variables.

3. Can the given values of LMN have multiple solutions for XYZ?

Yes, it is possible to have multiple solutions for XYZ given the values of LMN. This can happen when the equation is not a unique solution, or when there are multiple solutions that satisfy the given equation.

4. Are there any other constraints or conditions that need to be considered while solving for XYZ?

It depends on the specific problem and equation. Generally, we need to make sure that the values of LMN are valid for the given equation, and there are no other restrictions or limitations mentioned in the problem.

5. Why is it important to solve for XYZ given LMN?

Solving for XYZ allows us to find the exact values of the unknown variables, which can help us better understand and analyze the problem or equation. It also allows us to make predictions or draw conclusions based on the solution.

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