Precalculus Examples

$x + y = 0$ , $x \cdot y = 0$ , $(0, 0)$

Rewrite the equation as $0 = 0 + 0$ .

$0 = 0 + 0$

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

Add $0$ and $0$ to get $0$ .

$0 = 0$

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

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

Always true

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

Rewrite the equation as $0 = (0) \cdot (0)$ .

$A l w a y s (t r u e)$

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

Multiply $0$ by $0$ to get $(0) (0)$ .

$A l w a y s (t r u e)$

$0 = (0) (0)$

Multiply $0$ by $0$ to get $0$ .

$A l w a y s (t r u e)$

$0 = 0$

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

$A l w a y s (t r u e)$

Always true

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

$(0, 0)$ is a solution

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