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February 18th, 2017, 12:22 PM   #1
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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.
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February 18th, 2017, 12:42 PM   #2
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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.
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February 18th, 2017, 01:48 PM   #3
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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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