Write as a Function of x 4x+|y|=0

$4 x + | y | = 0$

Step 1

Subtract $4 x$ from both sides of the equation.

$| y | = - 4 x$

Step 2

Remove the absolute value term. This creates a $\pm$ on the right side of the equation because $| x | = \pm x$ .

$y = \pm (- 4 x)$

Step 3

The complete solution is the result of both the positive and negative portions of the solution.

First, use the positive value of the $\pm$ to find the first solution.

$y = - 4 x$

Next, use the negative value of the $\pm$ to find the second solution.

$y = 4 x$

The complete solution is the result of both the positive and negative portions of the solution.

$y = - 4 x$

$y = 4 x$

$y = - 4 x$

$y = 4 x$