Linear Systems of Equations Section 3.1. What is a “system” of equations?

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Presentation transcript:

Linear Systems of Equations Section 3.1

What is a “system” of equations?

 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

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

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

 What’s the solution to this linear system?

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

Let’s solve some by using the calculator!

In-class work!