,

Eliminate the equal sides of each equation and combine.

Move all terms containing to the left side of the equation.

Subtract from both sides of the equation.

Subtract from both sides of the equation.

Combine the opposite terms in .

Subtract from .

Add and .

Subtract from .

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

Subtract from both sides of the equation.

Subtract from .

Divide each term by and simplify.

Divide each term in by .

Cancel the common factor of .

Cancel the common factor.

Divide by .

Divide by .

Substitute for .

Substitute for in and solve for .

Remove parentheses.

Simplify .

Raise to the power of .

Subtract from .

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+10x+11 , y=x^2+x-7