1. Solving Linear Systems by Graphing

2. Key Terms:
A system of two linear Equations – in ____ variables x and y, consist of two linear equations.
Solution – consist of an order pair_____ .
Two Types:
Consistent – At least one Solution
Independent – _______ ______
Dependent – ___________ ________
Inconsistent – No Solution

3. Consistent Vs. Inconsistent

4. Example: Exactly One Solve by Graphing. Check algebraically
y = -1 3x + y = 5
Solution: ( )

5. CHECK
Equation 1 Solution Equation 2 y = -1 (2, -1) 3x + y = 5 (-1) = -1 3(2) + (-1) = 5 -1 = = 5 5 = 5

6. Example: Many Solutions Solve the system and Classify.
y = 2x -1 -6x + 3y = -3

7. Example: No Solution
2x + y = 4 y = -2x +1

8. You Try It!!! Solve by Graphing and Check Algebraically
y = -3x + 2
y = 2x - 3
4x + y = 5
y = -4x - 2
Solution: ( )

9. Homework
Workbook - Page 36 & 37 # 1-12