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System of Equations Solver

Enter finite coefficients for a small linear system and inspect its numerical result.

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System of Equations Solver

Coefficients

Enter finite decimal coefficients. Results use JavaScript floating-point arithmetic; near-singular systems use a relative tolerance and may need exact arithmetic for confirmation.

A QUICK WALKTHROUGH

How to use this tool

  1. Choose 2×2 or 3×3.
  2. Enter coefficient and right-hand-side values.
  3. Solve and review determinant and the unique, infinite, or no-solution classification.

Small systems only

The tool accepts 2×2 and 3×3 linear systems and uses determinant-based floating-point arithmetic locally.

Classification and precision

Rank comparison reports unique, infinitely many, or no solution using a relative tolerance. Near-singular results are numerical indications, not a proof of exact symbolic behavior.

GOOD TO KNOW

Common questions

Does it support nonlinear equations?

No. It solves only linear 2×2 and 3×3 systems.

Are results exact?

No. Decimal inputs use browser floating-point arithmetic and displayed values are limited precision.