Write as a Function of y xy+2y=1

$x y + 2 y = 1$

Subtract $2 y$ from both sides of the equation.

$x y = 1 - 2 y$

Divide each term by $y$ and simplify.

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Divide each term in $x y = 1 - 2 y$ by $y$ .

$\frac{x y}{y} = \frac{1}{y} + \frac{- 2 y}{y}$

Cancel the common factor of $y$ .

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Cancel the common factor.

$\frac{x y}{y} = \frac{1}{y} + \frac{- 2 y}{y}$

Divide $x$ by $1$ .

$x = \frac{1}{y} + \frac{- 2 y}{y}$

Cancel the common factor of $y$ .

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Cancel the common factor.

$x = \frac{1}{y} + \frac{- 2 y}{y}$

Divide $- 2$ by $1$ .

$x = \frac{1}{y} - 2$

To rewrite as a function of $y$ , write the equation so that $x$ is by itself on one side of the equal sign and an expression involving only $y$ is on the other side.

$f (y) = \frac{1}{y} - 2$

Write as a Function of y xy+2y=1

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