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Solve the system by elimination using multiplication

Solve the system by elimination using multiplication
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2012-11-14 04:14
FunctionCoordinate GeometryInequality
This example demonstrates how to solve a system of linear equations using elimination with multiplication. Key math concepts include linear equations, elimination method, multiplication operations, and equation solving. GeoGebra commands like If, Textfield, Polygon, Segment, Vector are used, along with objects such as coefX, coefLPlus1, solveHead. Suitable for middle school mathematics teaching and learning basic linear algebra concepts.

GeoGebra Commands & Parameters

  1. If(coefX + 1 ≟ 1, "", If[coefX + 1 ≟ -1, "-", "" + (coefX + 1) + ""]) → coefLPlus1
  2. Textfield(coefX) → inputCoefX
  3. Textfield(const) → inputConst
  4. Textfield(mult) → inputMult
  5. Textfield(coefY) → inputCoefY
  6. Polygon((-5.02, 6.2), (7.98, 6.2), (8, 6.98), (-5, 6.98)) → row1Header, a, b, c, d
  7. Segment((x(Corner[solve1a_1, 1]) - 0.6, 4.3), (x(Corner[solve1a_2, 2]) + 0.3, 4.3)) → step1segment
  8. Segment((4.22, 0.02), (4.22, 7.02)) → segmentDivider
  9. Segment((-1.8, 4.3), (4.2, 4.3)) → divider1a
  10. Segment((-5.04, -1.06), (7.96, -1.06)) → bottom
  11. Segment((0, -1), (0, 7)) → sideL
  12. Segment((7.98, -1.04), (7.98, 6.96)) → sideR
  13. Segment((-5.02, 0.02), (7.98, 0.02)) → dividerSolution
  14. Vector(Corner[multEqn3, 1] + (-0.2, 0.4), Corner[solve1a_2, 2] + (0.2, 0.2)) → multEqnVector
  15. If(mult * coefX - 2 ≟ 0 ∧ -mult * coefY + 6 ≟ 0, true, false) → solutionNone
  16. If(mult * coefY ≠ 6, true, false) → notValid

AI Drawing Prompt Reference

Draw a coordinate system with two lines and their intersection point. First, draw the first line with slope coefX and y-intercept const, then draw the second line with slope mult * coefX and y-intercept mult * const. Next, draw a rectangular box to indicate the solution area. Finally, draw two auxiliary lines, one horizontal and one vertical, to help locate the solution position.
The prompt above was compiled from the original drawing commands and is for reference only.