Algebra Examples

$y = \frac{1}{x + 2}$ $y = x^{2} + 2$

Step 1

Eliminate the equal sides of each equation and combine.

$\frac{1}{x + 2} = x^{2} + 2$

Step 2

Graph each side of the equation. The solution is the x-value of the point of intersection.

$x \approx - 1.81053571 + y = x^{2} + 2$

Step 3

Evaluate $y$ when $x = - 1.81053571$ .

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Step 3.1

Substitute $- 1.81053571$ for $x$ .

$y = {(- 1.81053571)}^{2} + 2$

Step 3.2

Simplify ${(- 1.81053571)}^{2} + 2$ .

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Step 3.2.1

Raise $- 1.81053571$ to the power of $2$ .

$y = 3.27803957 + 2$

Step 3.2.2

Add $3.27803957$ and $2$ .

$y = 5.27803957$

Step 4

The solution to the system is the complete set of ordered pairs that are valid solutions.

$(- 1.81053571, 5.27803957)$

Step 5

The result can be shown in multiple forms.

Point Form:

$(- 1.81053571, 5.27803957)$

Equation Form:

$x = - 1.81053571, y = 5.27803957$

Step 6