SOLUTION: Solve for y: 2x = (1-y)/(2-y) (2-y)2x = (1-y) multiply ea side by (2-y) 4x-2xy = 1-y but I can't figure this out further. 4x-2xy+y = 1 I am lost.

Algebra ->  Expressions-with-variables -> SOLUTION: Solve for y: 2x = (1-y)/(2-y) (2-y)2x = (1-y) multiply ea side by (2-y) 4x-2xy = 1-y but I can't figure this out further. 4x-2xy+y = 1 I am lost.       Log On


   

Question 546278: Solve for y: 2x = (1-y)/(2-y)
(2-y)2x = (1-y) multiply ea side by (2-y)
4x-2xy = 1-y but I can't figure this out further.
4x-2xy+y = 1 I am lost.
Answer by nyc_function(2741) About Me  (Show Source):
You can put this solution on YOUR website!
2x = (1-y)/(2-y)

Multiply both sides by the denominator to remove the fraction.

2x(2 - y) = (1-y)/(2-y) times (2 - y)

2x(2 - y) = 1 - y

4x - 2xy = 1 - y

-2xy + y = -4x + 1

Factor out y on the left side.

y(-2x + 1) = -4x + 1

Finally divide both sides by (-2x + 1). This will isolate y.

y = (-4x + 1)/(-2x + 1)

Done!