1. What does it mean to “break even”? Why is breaking even important?
Bell Ringer
What does it mean to “break even”?
Why is breaking even important?

3. Exercise
Ron and Harry are collecting Carger Coins. Right now, Ron has 12 and earns them at a rate of 2 a week. Harry does not have any Carger coins right now, but he earns them at a rate of 4 Carger coins a week. When will Ron and Harry have the same amount of Carger coins?

4. How did you do it?

5. How could we represent it on a graph?

6. What does your graph really mean?
At 7 weeks, who will have more Carger coins?
At 5 weeks, who will have more Carger coins?

7. The student will be able to:
Objective
The student will be able to:
solve systems of equations by graphing.
Designed by Skip Tyler, Varina High School

8. What is a system of equations?
A system of equations is when you have two or more equations using the same variables.
The solution to the system is the point that satisfies ALL of the equations. This point will be an ordered pair.
When graphing, the solution is the point of intersection.

9. Steps to Solving a System of Equations By Graphing
Graph each equation on same plane
Step 2:
Find the Point of Intersection
Step 3:
Check the point
In summary…GRAPH IT, FIND IT, CHECK IT

10. Intersecting Lines
The point where the lines intersect is your solution.
The solution of this graph is (1, 2)
(1,2)

11. Solve By Graphing (Ex 1) y=2x Check y=-x+3 (2) = 2(1) (2)= -(1)+3
(2) = 2(1) (2)= -(1)+3
2 = = 2
Solution
(1,2)

12. Solve By Graphing (Ex 2) x - y = -2 y = x + 2 Check x+y = 4 y = -x + 4
(1)-(3) = (1)+(3)= 4
-2 = = 4
Solution
(1,3)

13. What is the solution of the system graphed below?
(2, -2)
(-2, 2)
No solution
Infinitely many solutions

14. Graph the equations. 2x + y = 4 (0, 4) and (2, 0) x - y = 2
Where do the lines intersect?
(2, 0)
2x + y = 4
x – y = 2

15. Systems of Equations