Systems of simultaneous linear equations using various methods such as Gaussian Elimination and Gauss Jordan methods.

Procedure

  1. Select the Solving Method

    • Choose either Gaussian Elimination or Gauss-Jordan Elimination from the dropdown menu.
  2. Enter the Linear Equations

    • Input the coefficients of the linear system in the form:
      • a₁x + b₁y = c₁
      • a₂x + b₂y = c₂
    • Alternatively, select one of the example equations provided in the interface.
  3. Initialize System Parameters

    • Ensure all coefficient fields are correctly filled.
    • Check if the equations form a valid linear system (non-zero determinant for unique solution).
  4. Run the Simulation

    • Click on the Simulate button to perform matrix operations.
  5. View Output

    • Check the solution results displayed in the result panel.
    • Observe the computed values of variables (x and y).
    • If available, review steps or graphical representation showing equation intersection point.
  6. Analyze the Result

    • Verify correctness by substituting the solution back into the original equations.
    • Repeat using the other elimination method to compare solution approach and clarity.