$\oint 3.1$ Solving Linear Systems by Graphing

Definition: To solve a system means to find the points of intersection

Methods for Solving a System:

  1. Graphing
  2. Substitution
  3. Elimination (Linear Combination)
  4. Determinants
  5. Augmented Matrices

Types of Solutions

  1. $l_1 \parallel l_2$ : No solution. Inconsistent
  2. $l_1 \cap l_2$ : 1 Solution. Consistent, Independent
  3. $l_1 = l_2$ : $\infty$ Solutions. Consistent, dependendent
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