Solve for x y=|x|

$y = | x |$

Step 1

Rewrite the equation as $| x | = y$ .

$| x | = y$

Step 2

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

$x = \pm y$

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.

$x = y$

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

$x = - y$

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

$x = y$

$x = - y$

$x = y$

$x = - y$