# Solve the System of Equations y=x^2 2y+6=2(x+3)

Solve the System of Equations y=x^2 2y+6=2(x+3)
Replace all occurrences of with in each equation.
Replace all occurrences of in with .
Simplify .
Simplify the left side.
Multiply by .
Simplify the right side.
Simplify .
Apply the distributive property.
Multiply by .
Solve for in .
Subtract from both sides of the equation.
Subtract from both sides of the equation.
Combine the opposite terms in .
Subtract from .
Factor out of .
Factor out of .
Factor out of .
Factor out of .
If any individual factor on the left side of the equation is equal to , the entire expression will be equal to .
Set equal to .
Set equal to and solve for .
Set equal to .
Add to both sides of the equation.
The final solution is all the values that make true.
Replace all occurrences of with in each equation.
Replace all occurrences of in with .
Simplify the right side.
Raising to any positive power yields .
Replace all occurrences of with in each equation.
Replace all occurrences of in with .
Simplify the right side.
One to any power is one.
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:
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