# Solve by Substitution y=x^2-3x-4 , x=y+8

,
Replace all occurrences of with in each equation.
Replace all occurrences of in with .
Solve for in the first equation.
Since is on the right side of the equation, switch the sides so it is on the left side of the equation.
Move all terms containing to the left side of the equation.
Subtract from both sides of the equation.
Subtract from .
Factor using the perfect square rule.
Rewrite as .
Check that the middle term is two times the product of the numbers being squared in the first term and third term.
Rewrite the polynomial.
Factor using the perfect square trinomial rule , where and .
Set the equal to .
Add to both sides of the equation.
Replace all occurrences of with in each equation.
Replace all occurrences of in with .
Simplify .
Simplify each term.
Raise to the power of .
Multiply by .
Simplify by subtracting numbers.
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^2-3x-4 , x=y+8