# Solve by Substitution x^2-y=3 , x-y=-3 ,
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.
Rewrite as .
Expand using the FOIL Method.
Apply the distributive property.
Apply the distributive property.
Apply the distributive property.
Simplify and combine like terms.
Simplify each term.
Multiply by .
Move to the left of .
Multiply by .
Subtract from .
Subtract from .
Solve for in the first equation.
Subtract from both sides of the equation.
Subtract from .
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.
Replace all occurrences of with in each equation.
Replace all occurrences of in with .
Simplify .
Remove parentheses.
Replace all occurrences of with in each equation.
Replace all occurrences of in with .
Simplify .
Remove parentheses.
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 x^2-y=3 , x-y=-3     