Pre-Algebra Examples

$| y | = | x |$

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.

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Step 3.1

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

$x = | y |$

Step 3.2

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

$x = - | y |$

Step 3.3

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

$x = | y |$

$x = - | y |$

$x = | y |$

$x = - | y |$

Step 4