Algebra Examples

$2 x + | y | = 0$

Step 1

Subtract $2 x$ from both sides of the equation.

$| y | = - 2 x$

Step 2

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

$y = \pm (- 2 x)$

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.

$y = - 2 x$

Step 3.2

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

$y = 2 x$

Step 3.3

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

$y = - 2 x$

$y = 2 x$

$y = - 2 x$

$y = 2 x$