Systems of Linear Equations by Derya Özdin

Systems of Linear Equations by Derya Özdin
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2017-11-03 14:11
This example demonstrates the graphical representation of systems of linear equations. It involves the core mathematical concept of solving systems of linear equations. Multiple linear equations are constructed using GeoGebra commands to show that the intersection points of the equations represent the solutions. Suitable for high school mathematics education and learning.

GeoGebra Commands & Parameters

  1. (2 * x) + (3 * y) + 5 = 0
  2. (6 * x) + (9 * y) + 15 = 0
  3. (-x) + y + 8 = 0
  4. (-2 * x) + (2 * y) - 10 = 0
  5. (3 * x) - (5 * y) + 9 = 0
  6. (4 * x) - (6 * y) + 9 = 0

AI Drawing Prompt Reference

Draw the line y = -2/3x - 5/3 and y = -3/2x + 5, and observe their intersection. Then draw y = x + 8 and y = x - 5, and observe their intersection again. Finally, draw y = 5/3x - 9/5 and y = 3/2x - 9/2, and check their intersection.
The prompt above was compiled from the original drawing commands and is for reference only.