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Linear Equation Solver Demo

Linear Equation Solver Demo
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2017-10-03 13:49
FunctionCoordinate GeometryOptimization
This example demonstrates the solving process and visualization of solutions for a system of linear equations; core math concepts include systems of linear equations, solution sets, and analytical geometry; construction highlights include commands like Random, RandomElement, Intersect, Solve, Simplify, Factor, and objects such as list1, button1, b, c, d, a, f, g, A, L_1, text2, text3, e, p, q, r, s, text1; suitable for high school mathematics teaching to understand methods for solving systems of linear equations and dynamically demonstrate the process.

GeoGebra Commands & Parameters

  1. Random(-10, 10) → b
  2. RandomElement(list1) → c
  3. Random(-10, 10) → d
  4. RandomElement(list1) → a
  5. Intersect(f, g) → A
  6. Solve(f = g) → L_1
  7. Simplify(f) → p
  8. Simplify(g) → q
  9. Factor(p) → r
  10. Factor(q) → s

AI Drawing Prompt Reference

Draw the visualization of a system of linear equations, including two randomly generated lines f and g, their intersection point A, and the solution set L_1 of f=g. First, generate the slopes b and d, and y-intercepts c and a for lines f and g, then find their intersection point A, solve f=g to get the solution set L_1, and finally simplify and factorize the equations of lines f and g.
The prompt above was compiled from the original drawing commands and is for reference only.