,

Eliminate the equal sides of each equation and combine.

Subtract from both sides of the equation.

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.

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 .

Add to both sides of the equation.

The final solution is all the values that make true.

Substitute for .

Multiply by .

Substitute for .

Multiply by .

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+4 , y=5x