Algebra Examples

$y = x^{2} - 4$ , $x + y + 2 = 0$

Step 1

Move all terms not containing $y$ to the right side of the equation.

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Step 1.1

Subtract $x$ from both sides of the equation.

$y + 2 = - x$

$y = x^{2} - 4$

Step 1.2

Subtract $2$ from both sides of the equation.

$y = - x - 2$

$y = x^{2} - 4$

$y = - x - 2$

$y = x^{2} - 4$

Step 2

Create a graph to locate the intersection of the equations. The intersection of the system of equations is the solution.

$(1, - 3)$

$(- 2, 0)$

Step 3