Solve by Substitution y=x^2-5 , y=2x-2

Math
,
Substitute for into then solve for .
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Replace with in the equation.
Solve the equation for .
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Subtract from both sides of the equation.
Move to the left side of the equation by adding it to both sides.
Add and .
Factor using the AC method.
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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.
If any individual factor on the left side of the equation is equal to , the entire expression will be equal to .
Set the first factor equal to and solve.
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Set the first factor equal to .
Add to both sides of the equation.
Set the next factor equal to and solve.
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Set the next factor equal to .
Subtract from both sides of the equation.
The final solution is all the values that make true.
Substitute for into then solve for .
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Replace with in the equation.
Simplify .
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Multiply by .
Subtract from .
Substitute for into then solve for .
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Replace with in the equation.
Simplify .
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Multiply by .
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 by Substitution y=x^2-5 , y=2x-2

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