SOLUTION: solve for g 40= (2)(1+g)/ 13.8-g I am confused because we are solving for a varible that shows up in the equation more than once.

Algebra ->  Finance -> SOLUTION: solve for g 40= (2)(1+g)/ 13.8-g I am confused because we are solving for a varible that shows up in the equation more than once.      Log On


   

Question 104145: solve for g
40= (2)(1+g)/ 13.8-g
I am confused because we are solving for a varible that shows up in the equation more than once.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
40 = (2)(1+g)/ 13.8-g
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I am assuming you mean:
%282%29%2A%281%2Bg%29%2F13.8+-+g = 40
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%282%2B2g%29%2F13.8+-+g = 40; multiplied what's inside the brackets
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2 + 2g - 13.8g = 13.8(40); multiplied eq by 13.8, gets rid of the denominator
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2g - 13.8g = 552 - 2; Subtracted 2 from both sides
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-11.8g = 550; do the math
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g = 550/-11.8; divide both sides by -11.8
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g = -46.61 is the solution
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Check in original equation:
%282%29%2A%281-46.61%29%2F13.8+-+%28-46.61%29 = 40
%282%29%2A%281-46.61%29%2F13.8+%2B+46.61 = 40; minus a minus is a plus
%282%29%2A%28-45.61%29%2F13.8+%2B+46.61 = 40;
%28-91.22%29%2F13.8+%2B+46.61 = 40;
-6.61 + 46.61 = 40; confirms our solution
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If this is NOT the way you meant the problem to be, let us know, we can edit this solution