1. Linear Systems of Equations Section 3.1

2. What is a “system” of equations?

3.  systems can have either one solution, no solution, or an infinite amount of solutions: - if one solution, system is “independent” - if no solution, system is “inconsistent” - if infinite solutions, system is “independent” Classification of Systems

4.  Three methods can be used to solve a linear system: - graphically - algebraically through “substitution” - algebraically through “elimination” (addition) How to “solve” a linear system…

5.  the solution of the linear system is the point of intersection of the two graphs (ordered pair- (x, y)) Solving a linear system graphically…

6.  What’s the solution to this linear system?

7. Solving a linear system graphically…  these are the three situations which can happen:

8. Let’s solve some by using the calculator!

11. In-class work!