1. System of Equations
Graphing methods

2. Review: Linear Functions
There are three forms
Standard Forms Ax + By = C
Slope Intercept Form y = mx + b
Point-Slope Form y-y = m(x-x)

3. Solutions to Linear An order paired that satisfied the given equations
Infinite solutions
Can you name a solution to:
Solutions to Linear

4. What is a System of Equations?
A collections of two or more equations with
the same set of solution/s.
What is a System of Equations?

5. What is a solution to a system of equations?
An order paired or pairs that the system have in common.
Points that are true for all given equations in the system.
What is a solution to a system of equations?

6. One solutions
No solutions
Infinite Many Solutions
Type of Solutions

7. What are those solutions looks like in a graph form?

8. Steps to Solve by Graphing Method
Isolate the y variable
Graph both equations on the same graph
Find the point of intersection
Steps to Solve by Graphing Method

9. Calculator Steps Put each equation in y=
Zoom 0 and Zoom 3 if you don’t see an intersection
2nd, Trace, 5, Enter, Enter, Enter
Calculator Steps

10. Table: y1 = y2
Trace: Give one point (x,y)
One Solution

11. No Solutions Table: y1 and y2 will never be the same
Trace: Error Message (no Solutions)
No Solutions

12. Infinite Many Solutions
Table: y1 and y2 is the same
Trace: show y-intercept
Infinite Many Solutions

13. Practice Practice Practice

14. Real World Application Example

15. Real World Application

16. System of Equations by Graphing
Kuta Software:
System of Equations by Graphing
Homework