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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.

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Presentation on theme: "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."— Presentation transcript:

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

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

6 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 Substitute x = - 4, and y = 7 into the equation.

9 EXAMPLE : Substitute x = - 4, 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

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

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


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