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February 18th, 2017, 12:22 PM  #1 
Newbie Joined: Jan 2017 From: Britain Posts: 11 Thanks: 0  Getting the dependent variable
I've got this equation: 5000=500/(1  c) Intuitively, I know that it is the same as 1  c = 500/5000 but how do I show the working that shifts the 1  c to the left? Thanks, Simon Last edited by skipjack; February 18th, 2017 at 12:43 PM. 
February 18th, 2017, 12:42 PM  #2 
Global Moderator Joined: Dec 2006 Posts: 17,204 Thanks: 1291 
The reciprocal of the lefthand side = the reciprocal of the righthand side, so 1/5000 = (1  c)/500. Multiplying each side by 500 now gives 500/1000 = 1c. Another method is to multiply each side of the original equation by (1  c)/1000. 
February 18th, 2017, 01:48 PM  #3 
Newbie Joined: Jan 2017 From: Britain Posts: 11 Thanks: 0 
My son has just shown me this way which now seems obvious to me multiply both sides by 1c: 5000(1c) = 500 Then divide both sides by 5000: 1c=500/5000 1c = 0.1 so c= 0.9 

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