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

$| x | - y = 9$

Step 1

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

$- y = 9 - | x |$

Step 2

Divide each term in $- y = 9 - | x |$ by $- 1$ and simplify.

Divide each term in $- y = 9 - | x |$ by $- 1$ .

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

Simplify the left side.

Dividing two negative values results in a positive value.

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

Divide $y$ by $1$ .

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

Simplify the right side.

Simplify each term.

Divide $9$ by $- 1$ .

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

Dividing two negative values results in a positive value.

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

Divide $| x |$ by $1$ .

$y = - 9 + | x |$

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.

$f (x) = - 9 + | x |$

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

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