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Algebra II Recipe: Solving Linear Systems by Graphing
Graphing Method
  1. Solve both equations for y.
  2. Graph each equation using y = mx + b.
  3. Determine the solution by the graph.
    • If the two lines intersect, the solution is the point where the two lines intersect.
    • If the two lines are parallel, the solution is NO SOLUTION.
    • If the two lines overlap, the solution is infinitely many solutions (IMS).
2x - 3y = 1 and x + y = 3
3x - 2y = 6 and 6x - 4y = 12
3x - 2y = 6 and 3x - 2y = 2

G Redden

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