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Practice: Solve Simultaneous Equations (3 unknowns) LvL 1

Practice: Solve Simultaneous Equations (3 unknowns) LvL 1
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2015-12-10 16:05
Coordinate GeometryMatrix
This example demonstrates solving systems of three linear equations geometrically, visualizing the solution set through graphs. Core math concepts include determinants, system of equations solving, and analytical geometry. Construction highlights use of Random for generating random values, Determinant for matrix calculations, Textfield for displaying text, Segment for line drawing, and If for conditional logic. Suitable for middle school and above students learning linear algebra and analytical geometry to grasp the geometric intuition behind solving systems of equations.

GeoGebra Commands & Parameters

  1. Random(-10, 10) → ans_1
  2. Random(-9, 9) → b
  3. Random(-10, 10) → ans_3
  4. Random(-10, 10) → ans_2
  5. Random(-9, 9) → f
  6. Random(-9, 9) → h
  7. Random(-9, 9) → i
  8. Random(-9, 9) → d
  9. Random(-9, 9) → a
  10. Determinant(q) → i_1
  11. Determinant(r) → j
  12. Determinant(s) → k
  13. Determinant(w) → w_1
  14. Textfield(abc) → InputBox1
  15. Textfield(abd) → InputBox2
  16. Textfield(abe) → InputBox3
  17. Textfield(abf) → InputBox4
  18. Textfield(abi) → InputBox8
  19. Textfield(abk) → InputBox9
  20. Textfield(abj) → InputBox10
  21. Textfield(abl) → InputBox11
  22. Textfield(ansy) → InputBox12
  23. Textfield(ansz) → InputBox13
  24. Textfield(ansx) → InputBox7
  25. Textfield(abh) → InputBox5
  26. Textfield(abg) → InputBox6
  27. Segment(A, B) → a_1
  28. Segment(C, D) → b_1
  29. Segment(E, F) → c_1
  30. Segment(E, F) → d_1
  31. If(ansx ≟ mx ∧ ansy ≟ nx ∧ ansz ≟ wx, "Well Done!", "Please Try Again") → text24

AI Drawing Prompt Reference

Visualize the geometric solution of a system of three linear equations by generating random coefficients, calculating determinants, drawing three lines, and marking their intersection point to show the solution. Use text boxes to display the equations and prompts, providing feedback based on the solution's location.
The prompt above was compiled from the original drawing commands and is for reference only.