1. Ordered pairs ( x , y ) as solutions to Linear Equations
Here are some examples of Linear Equations.
The variables have ones as their exponents.
They create lines that contain many ( x , y ) points that satisfy the given equations.

2. Ordered pairs ( x , y ) as solutions to Linear Equations
Here are some examples of Linear equations.
The variables have ones as their exponents.
They create lines that contain many ( x , y ) points that satisfy the given equations.
Every solution of a Linear equation is an ordered pair of numbers, x and y. This pair, when substituted into the equation, creates an equality. If no equality exists, the ordered pair IS NOT a solution.

3. STEPS : 1. Substitute the given ( x , y ) into the equation.
Ordered pairs ( x , y ) as solutions to Linear Equations
Here are some examples of Linear equations.
The variables have ones as their exponents.
They create lines that contain many ( x , y ) points that satisfy the given equations.
Every solution of a Linear equation is an ordered pair of numbers, x and y. This pair, when substituted into the equation creates an equality. If no equality exists, the ordered pair IS NOT a solution.
STEPS : 1. Substitute the given ( x , y ) into the equation.
2. Check to see if an equality exists.

4. Substitute x = 2, and y =3 into the equation.
EXAMPLE :
Substitute x = 2, and y =3 into the equation.

5. Substitute x = 2 , and y = 3 into the equation.
EXAMPLE :
Substitute x = 2 , and y = 3 into the equation.

6. Substitute x = 2 , and y = 3 into the equation.
EXAMPLE :
Substitute x = 2 , and y = 3 into the equation.
Since this creates an equality, the given point IS a solution to the equation.

7. EXAMPLE :

8. EXAMPLE :
Substitute x = , and y = 7 into the equation.

9. EXAMPLE :
Substitute x = , and y = 7 into the equation.
Since the equality doesn’t exist, the given ordered pair IS NOT a solution to the equation.

10. You try one. See if you can get the solution first without seeing how I did it.

11. You try one. See if you can get the solution first without seeing how I did it.

12. You try one. See if you can get the solution first without seeing how I did it.
Substitute x = 3 and y = 9 into the equation

13. You try one. See if you can get the solution first without seeing how I did it.
Substitute x = 3 and y = 9 into the equation
Since an equality exists, the ordered pair IS a solution to the equation.

14. PRACTICE
Complete the following problems. You can check your answers in the solution bank.
Test each ordered pair and see if it is a solution to the given equation.

15. PRACTICE
Complete the following problems. You can check your answers in the solution bank.
Test each ordered pair and see if it is a solution to the given equation.