SOLUTION: I am trying to solve y = (3x+4)/(5-2x) for x in terms of y. I am having difficulty as I seem to keep going in circles.

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Question 536169: I am trying to solve y = (3x+4)/(5-2x) for x in terms of y. I am having difficulty as I seem to keep going in circles.
Answer by fcabanski(1391) About Me  (Show Source):
You can put this solution on YOUR website!
y = (3x+4)/(5-2x) (Multiply both sides by 5-2x)


y(5-2x)=3x+4 (Multiply Y by both terms in the ()).


5y - 2xy = 3x+4 (Get all the x terms on one side, everything else on the other. Add 2xy to both sides, subtract 4 from both sides.)


5y-4 = 3x+2xy (Factor x from the terms on the right)


5y-4 = x(3+2y) (Divide both sides by 3+2y)


(5y-4)/(3+2y) = x

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