AlgebraLab

Algebra II Recipe: Solving Linear Systems by Graphing

By G Redden

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).
1.
2x - 3y = 1 and x + y = 3
2.
3x - 2y = 6 and 6x - 4y = 12
3.
3x - 2y = 6 and 3x - 2y = 2