Precalculus Examples

$x^{2} + y = 0$ , $y = 5 x^{2}$ , $(0, 0)$

Simplify ${(0)}^{2} + 0$ .

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Raising $0$ to any positive power yields $0$ .

$0 + 0 = 0$

$0 = 5 {(0)}^{2}$

Add $0$ and $0$ .

$0 = 0$

$0 = 5 {(0)}^{2}$

$0 = 0$

$0 = 5 {(0)}^{2}$

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

Always true

$0 = 5 {(0)}^{2}$

Simplify $5 {(0)}^{2}$ .

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Raising $0$ to any positive power yields $0$ .

Always true

$0 = 5 \cdot 0$

Multiply $5$ by $0$ .

Always true

$0 = 0$

Always true

$0 = 0$

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

Always true

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

$(0, 0)$ is a solution

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