1. Warm up Evaluate each expression for x = 1 and y = -3.
x – 4y 2) -2x + y
Graph each equation.
3) y = x ) y = -2/3x + 2

2. Solving Systems of Linear Equations by Graphing

3. What does it mean when two lines intersect?

4. A system of linear equations is _________________ ___________________________________________ A solution of a system of linear equations is _______ ____________________________________________

5. Types of Solutions

6. Tell whether the ordered pair is a solution of the given system.
(5, 2); 2/5x – y = 0 3x – y = 13
(-2, 2); x + 3y = 4 -x + y = 2

7. Try it: Tell whether the ordered pair is a solution of the given system.
(1, 3); 2x + y = 5 -2x + y = 1
(2, -1); x - 2y = 4 3x + y = 6

8. Solve the system by graphing.
y = -2x – 1 y = x + 5 Solution: Check:

9. Solve the system by graphing.
y = x y = -2x – 3 Solution: Check:

10. Solve the system by graphing.
y = -4 x = 2 Solution: Check:

11. Try it: Solve the system by graphing.
y = 1/3x - 3 y = -2x + 4 Solution: Check:

12. Try it: Solve the system by graphing.
y = -x + 3 y = x + 1 Solution: Check:

13. Try it: Solve the system by graphing.
y = 5 x = 1 Solution: Check:

14. Try it: Solve the system by graphing.
y = -2x - 1 y = x + 5 Solution: Check:

15. x – y = 3 2x + y = 3 Solution: Check:
If an equation is not in slope-intercept form, we cannot graph the equation. We must first write each equation in slope-intercept form so that we can graph to solve the system.
x – y = 3 2x + y = 3 Solution: Check:

16. Solve the system by graphing.
y = 1/3x - 3 2x + y = 4 Solution: Check:

17. Solve the system by graphing.
x – y = 5 2x + 3y = 0 Solution: Check:

18. Try it: Solve the system by graphing.
-x + y = -2 2x + y = 10 Solution: Check:

19. Try it: Solve the system by graphing.
y - 4 = x 2x + y = 1 Solution: Check:

20. Try it: Solve the system by graphing.
2x – 3y = 9 x = -3 Solution: Check:

21. Try it: Solve the system by graphing.
x – y = 1 5x – 4y = 0 Solution: Check:

22. Solving Special Systems
Solve the following systems of equations by GRAPHING

23. consistent system: _____________________________________
KEY TERMS
consistent system: _____________________________________
_____________________________________________________
inconsistent system: ___________________________________
independent system: ___________________________________
dependent system: _____________________________________
Let’s go back and label each of the previous problems with these terms!

24. CLASSIFICATION OF SYSTEMS OF LINEAR EQUATIONS
CONSISTENT AND INDEPENDENT
CONSISTENT AND DEPENDENT
INCONSISTENT
Number of Solutions
Description
Graph

25. Classify the system of equations. Determine the number of solutions. 7

26. Classify the system of equations. Determine the number of solutions. 9

27. In practice workbook: Page 84 #s 2 – 8 even Have out your homework
Warm Up
In practice workbook: Page 84 #s 2 – 8 even Have out your homework