Solution 11819: Algorithm for Solving Systems of Equations on the TI-89 Family, TI-92 Family, and Voyage™ 200 Graphing Calculators.
How are systems of equations solved on the TI-89 family, TI-92 family, and Voyage 200 graphing calculators?
solve() and cSolve() functions return real or complex solutions of linear or nonlinear systems of equations.
For linear or polynomial systems, the Gaussian or Groebner elimination method is used to seek all solutions.
Otherwise, a damped-Newton/steepest-descent method is used to seek an approximate solution close to the entered guess, which defaults to 0.0 for each component.