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Arithmetic Simultaneous Equations

Arithmetic Simultaneous Equations
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2015-10-16 05:47
FunctionCoordinate GeometryGeometric Construction
This example demonstrates how to use GeoGebra to illustrate the solutions of arithmetic simultaneous equations. Key mathematical concepts include linear equation systems and their solutions. The construction uses ImplicitCurve and Sequence commands. Suitable for middle school and above students to learn linear algebra and solving systems of equations.

GeoGebra Commands & Parameters

  1. ImplicitCurve((a * x) + ((a + d) * y) - (a + (2 * d))) → b
  2. ImplicitCurve(((a + (3 * d)) * x) + ((a + (4 * d)) * y) - (a + (5 * d))) → c
  3. Sequence(a + ((n - 1) * d), n, 1, 6) → list1

AI Drawing Prompt Reference

Draw the graphs of two linear equation systems: the first one is ax + (a+d)y = a+2d, and the second one is (a+3d)x + (a+4d)y = a+5d, where a and d are constants. Use the ImplicitCurve command to plot these equations and show their intersection point.
The prompt above was compiled from the original drawing commands and is for reference only.