SOLUTION: This is the reflection coefficient formula, r=(L-O)/(L+O) I need to solve for L: please help, Thank You.

Algebra ->  Equations -> SOLUTION: This is the reflection coefficient formula, r=(L-O)/(L+O) I need to solve for L: please help, Thank You.      Log On


   

Question 105828: This is the reflection coefficient formula,
r=(L-O)/(L+O)
I need to solve for L:
please help,
Thank You.
Found 2 solutions by checkley75, Fombitz:
Answer by checkley75(3666) About Me  (Show Source):
You can put this solution on YOUR website!
R=(L-0)/(L+0) CROSS MULTIPLY
R(L+0)=L-0
RL=L
RL-L=0
L(R-1)=0
L=0/(R-1)
L=0 ANSWER.

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
r=%28L-O%29%2F%28L%2BO%29
%28L%2BO%29%2Ar=cross%28L%2BO%29%2A%28L-O%29%2Fcross%28%28L%2BO%29%29 Multiply both sides by %28L%2BO%29
Lr%2BOr=L-O Distribute and simplify.
Get all L terms on one side, everything else on the other.
Lr%2BOr-L=L-L-O Additive inverse of L.
Lr-L%2BOr=-O
Lr-L%2BOr-Or=-O-OrAdditive inverse of Or.
L%2A%28r-1%29=-O%28r%2B1%29 Distributive property.
L%2A%28r-1%29%2F%28r-1%29=-O%28r%2B1%29%2F%28r-1%29Multiplicative inverse of (r-1).
L=-O%28r%2B1%29%2F%28r-1%29
L=O%2A%28%281%2Br%29%2F%281-r%29%29