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Solve 2 Variable Linear Equations & Inequalities

Solve 2 Variable Linear Equations & Inequalities
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2017-07-08 03:47
FunctionCoordinate GeometryInequality
In collections Equations & Inequalities as Comparisons of Functions
This example demonstrates solving 2 variable linear equations and inequalities. Core math concepts include linear equations and inequalities. Using GeoGebra commands such as a, b, s, C, f, d, g, i, j, e, FP, CP, ap, bP, CL, aL, text3, text4, l, m, text1, text2, text6, n, k, o, h, p, text5, one can visually understand the solution methods for equations and inequalities. Suitable for middle school and above students.

GeoGebra Commands & Parameters

  1. Numeric a(1.0)
  2. Numeric b(0.9)
  3. Numeric s(-0.8)
  4. Numeric C(0.0)
  5. f(x, y) = (C - (a * x) - (b * y)) / s
  6. d(x, y) = If[f(x, y) > 0, 0]
  7. g(x) = (C - (a * x)) / b
  8. Boolean i(false)
  9. Boolean j(false)
  10. e(x, y) = If[f(x, y) < 0, 0]
  11. FP(x, y) = C / s - (a / s * x) - (b / s * y)
  12. C / s
  13. a / s
  14. b / s
  15. C / b
  16. a / b
  17. l(x, y) = y > (C - (a * x)) / b
  18. m(x, y) = y < (C - (a * x)) / b
  19. Boolean n(true)
  20. k(x, y) = y < (C - (a * x)) / b
  21. o(x, y) = y > (C - (a * x)) / b
  22. h(x, y) = y < (C - (a * x)) / b
  23. p(x, y) = y > (C - (a * x)) / b

AI Drawing Prompt Reference

Draw a 2D coordinate system and plot the line y = (C - ax) / b. Shade the solution regions for the inequalities y > (C - ax) / b and y < (C - ax) / b. Set a=1.0, b=0.9, C=0.0, and s=-0.8.
The prompt above was compiled from the original drawing commands and is for reference only.