What is the answer to solvefor y, y/(2-y)=x ?

The answer to solvefor y, y/(2-y)=x is y=(2x)/(1+x);\quad x\ne-1

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solvefor y, y/(2-y)=x

solve for

y, \frac{y}{2 - y} = x

y = \frac{2 x}{1 + x}; x \neq = - 1

Solution steps

\frac{y}{2 - y} = x

Multiply both sides by

2 - y

y = x (2 - y)

Expand

x (2 - y) : 2 x - y x

y = 2 x - y x

Move

y x

to the left side

y + y x = 2 x

Factor

y + y x : y (1 + x)

y (1 + x) = 2 x

Divide both sides by

1 + x; x \neq = - 1

y = \frac{2 x}{1 + x}; x \neq = - 1

\frac{s}{2 t} = 10, t

\frac{5}{6 x} = \frac{4}{5 x}

x, \frac{6}{x - 1} = 2

\frac{- 82.3}{t} = 18

2500 = \frac{500}{1 - ( 2773 + x )}

What is the answer to solvefor y, y/(2-y)=x ?
The answer to solvefor y, y/(2-y)=x is y=(2x)/(1+x);\quad x\ne-1