My Math Forum Getting the dependent variable

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 February 18th, 2017, 12:22 PM #1 Newbie   Joined: Jan 2017 From: Britain Posts: 18 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: 18,245 Thanks: 1439 The reciprocal of the left-hand side = the reciprocal of the right-hand side, so 1/5000 = (1 - c)/500. Multiplying each side by 500 now gives 500/1000 = 1-c. 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: 18 Thanks: 0 My son has just shown me this way which now seems obvious to me multiply both sides by 1-c: 5000(1-c) = 500 Then divide both sides by 5000: 1-c=500/5000 1-c = 0.1 so c= 0.9

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