# Solve the System of Equations y=2x y=x^2-8

Eliminate the equal sides of each equation and combine.
Solve for .
Subtract from both sides of the equation.
Add to both sides of the equation.
Factor the left side of the equation.
Factor out of .
Reorder and .
Factor out of .
Factor out of .
Rewrite as .
Factor out of .
Factor out of .
Factor.
Factor using the AC method.
Consider the form . Find a pair of integers whose product is and whose sum is . In this case, whose product is and whose sum is .
Write the factored form using these integers.
Remove unnecessary parentheses.
If any individual factor on the left side of the equation is equal to , the entire expression will be equal to .
Set equal to and solve for .
Set equal to .
Add to both sides of the equation.
Set equal to and solve for .
Set equal to .
Subtract from both sides of the equation.
The final solution is all the values that make true.
Evaluate when .
Substitute for .
Substitute for in and solve for .
Remove parentheses.
Simplify .
Raise to the power of .
Subtract from .
Evaluate when .
Substitute for .
Simplify .
Raise to the power of .
Subtract from .
The solution to the system is the complete set of ordered pairs that are valid solutions.
The result can be shown in multiple forms.
Point Form:
Equation Form:
Solve the System of Equations y=2x y=x^2-8

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