# Solve by Substitution y=x^2+4 , y=5x

,
Eliminate the equal sides of each equation and combine.
Solve for .
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.
Evaluate when .
Substitute for .
Multiply by .
Evaluate when .
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