SOLUTION: SOLVE FOR a. a-g divided by ag = L my answer is a= -g/gL-1 is that correct?

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: SOLVE FOR a. a-g divided by ag = L my answer is a= -g/gL-1 is that correct?      Log On


   

Question 111830: SOLVE FOR a. a-g divided by ag = L
my answer is a= -g/gL-1
is that correct?
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
%28a-g%29%2F%28ag%29=L Start with the given equation

a-g=agL Multiply both sides by ag


a-g-agL=0 Subtract agL from both sides


a-agL=g Add g to both sides

a%281-gL%29=g Factor out "a"


a=g%2F%281-gL%29 Divide both sides by 1-gL

So if we factor out a -1 from 1-gL to get -1%281-gL%29, then the answer is

a=-g%2F%28gL-1%29

So you are correct