Write as a Function of y xy+6y=1

$x y + 6 y = 1$

Step 1

Subtract $6 y$ from both sides of the equation.

$x y = 1 - 6 y$

Step 2

Divide each term in $x y = 1 - 6 y$ by $y$ and simplify.

Divide each term in $x y = 1 - 6 y$ by $y$ .

$\frac{x y}{y} = \frac{1}{y} + \frac{- 6 y}{y}$

Simplify the left side.

Cancel the common factor of $y$ .

Cancel the common factor.

$\frac{x y}{y} = \frac{1}{y} + \frac{- 6 y}{y}$

Divide $x$ by $1$ .

$x = \frac{1}{y} + \frac{- 6 y}{y}$

Simplify the right side.

Cancel the common factor of $y$ .

Cancel the common factor.

$x = \frac{1}{y} + \frac{- 6 y}{y}$

Divide $- 6$ by $1$ .

$x = \frac{1}{y} - 6$

Step 3

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.

$f (y) = \frac{1}{y} - 6$

Write as a Function of y xy+6y=1

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