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Precalculus Examples

x + y = 0

$x + y = 0$ ,

x \cdot y = 0

$x \cdot y = 0$ ,

(0, 0)

$(0, 0)$

Step 1

Add

0

$0$ and

0

$0$ .

0 = 0

$0 = 0$

(0) \cdot (0) = 0

$(0) \cdot (0) = 0$

Step 2

Since

0 = 0

$0 = 0$ , the equation will always be true.

Always true

(0) \cdot (0) = 0

$(0) \cdot (0) = 0$

Step 3

Multiply

0

$0$ by

0

$0$ .

0 = 0

$0 = 0$

Always true

Step 4

Since

0 = 0

$0 = 0$ , the equation will always be true.

Always true

Always true

Step 5

The ordered pair is a solution to the system of equations.

(0, 0)

$(0, 0)$ is a solution

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[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$