System of Equations Solver
Solve systems of linear equations with exact Gauss–Jordan elimination; detects no-solution and infinitely-many-solution cases.
Solve systems of linear equations with exact Gauss–Jordan elimination; detects no-solution and infinitely-many-solution cases.
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Solves systems of linear equations with up to 8 unknowns using Gauss–Jordan elimination on exact fractions, so there is no rounding error.
The solver distinguishes the three possible outcomes: one unique solution, no solution (inconsistent equations), or infinitely many solutions, in which case the answer is written in terms of the free variables.
Example
2x + y = 5; x - y = 1
→ x = 2, y = 1
Row operations reduce the augmented matrix until the solution can be read off.