Algebra Examples

$t = - 2$ $x = t^{2} - 2$ $y = - t + 2$

Step 1

Replace all occurrences of $t$ with $- 2$ in each equation.

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Step 1.1

Replace all occurrences of $t$ in $x = t^{2} - 2$ with $- 2$ .

$x = {(- 2)}^{2} - 2$

$t = - 2$

$y = - t + 2$

Step 1.2

Simplify the right side.

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Step 1.2.1

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

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Step 1.2.1.1

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

$x = 4 - 2$

$t = - 2$

$y = - t + 2$

Step 1.2.1.2

Subtract $2$ from $4$ .

$x = 2$

$t = - 2$

$y = - t + 2$

$x = 2$

$t = - 2$

$y = - t + 2$

$x = 2$

$t = - 2$

$y = - t + 2$

Step 1.3

Replace all occurrences of $t$ in $y = - t + 2$ with $- 2$ .

$y = - (- 2) + 2$

$x = 2$

$t = - 2$

Step 1.4

Simplify the right side.

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Step 1.4.1

Simplify $- (- 2) + 2$ .

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Step 1.4.1.1

Multiply $- 1$ by $- 2$ .

$y = 2 + 2$

$x = 2$

$t = - 2$

Step 1.4.1.2

Add $2$ and $2$ .

$y = 4$

$x = 2$

$t = - 2$

$y = 4$

$x = 2$

$t = - 2$

$y = 4$

$x = 2$

$t = - 2$

$y = 4$

$x = 2$

$t = - 2$

Step 2

List all of the solutions.

$y = 4, x = 2, t = - 2$