How to reverse this?

1. Sep 27, 2015

antienor

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: Sep 27, 2015
2. Sep 27, 2015

Staff: Mentor

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. Sep 27, 2015

antienor

Hi already edited my post. This clears everything? Thanks!

4. Sep 27, 2015

Staff: Mentor

What does "= (L) 0.5839" mean? Is that a multiplication of L and 0.5839? Does that mean L has this value?

5. Sep 27, 2015

antienor

LMN is just like XYZ variables.

6. Sep 27, 2015

Staff: Mentor

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. Sep 27, 2015

antienor

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. Sep 27, 2015

Staff: Mentor

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