Write as a Function of x 3x-9y=-9

$3 x - 9 y = - 9$

Step 1

Subtract $3 x$ from both sides of the equation.

$- 9 y = - 9 - 3 x$

Step 2

Divide each term in $- 9 y = - 9 - 3 x$ by $- 9$ and simplify.

Divide each term in $- 9 y = - 9 - 3 x$ by $- 9$ .

$\frac{- 9 y}{- 9} = \frac{- 9}{- 9} + \frac{- 3 x}{- 9}$

Simplify the left side.

Cancel the common factor of $- 9$ .

Cancel the common factor.

$\frac{- 9 y}{- 9} = \frac{- 9}{- 9} + \frac{- 3 x}{- 9}$

Divide $y$ by $1$ .

$y = \frac{- 9}{- 9} + \frac{- 3 x}{- 9}$

Simplify the right side.

Simplify each term.

Divide $- 9$ by $- 9$ .

$y = 1 + \frac{- 3 x}{- 9}$

Cancel the common factor of $- 3$ and $- 9$ .

Factor $- 3$ out of $- 3 x$ .

$y = 1 + \frac{- 3 (x)}{- 9}$

Cancel the common factors.

Factor $- 3$ out of $- 9$ .

$y = 1 + \frac{- 3 (x)}{- 3 (3)}$

Cancel the common factor.

$y = 1 + \frac{- 3 x}{- 3 \cdot 3}$

Rewrite the expression.

$y = 1 + \frac{x}{3}$

Step 3

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

$f (x) = 1 + \frac{x}{3}$

Write as a Function of x 3x-9y=-9

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