Trigonometry Examples

$| y + 2 | = 7$

Step 1

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

$y + 2 = \pm 7$

Step 2

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

Tap for more steps...

Step 2.1

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

$y + 2 = 7$

Step 2.2

Move all terms not containing $y$ to the right side of the equation.

Tap for more steps...

Step 2.2.1

Subtract $2$ from both sides of the equation.

$y = 7 - 2$

Step 2.2.2

Subtract $2$ from $7$ .

$y = 5$

Step 2.3

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

$y + 2 = - 7$

Step 2.4

Move all terms not containing $y$ to the right side of the equation.

Tap for more steps...

Step 2.4.1

Subtract $2$ from both sides of the equation.

$y = - 7 - 2$

Step 2.4.2

Subtract $2$ from $- 7$ .

$y = - 9$

Step 2.5

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

$y = 5, - 9$