Write as a Function of y 2x+|y|=0

$2 x + | y | = 0$

Step 1

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

$2 x = - | y |$

Step 2

Divide each term in $2 x = - | y |$ by $2$ and simplify.

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

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

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

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

Divide $x$ by $1$ .

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

Simplify the right side.

Move the negative in front of the fraction.

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

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.

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

Write as a Function of y 2x+|y|=0

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