Solve 2×2 and 3×3 systems with the row operations exposed.

Enter coefficients once and get an exact solution, Gaussian-elimination trail, determinant, rank classification and residual verification. Two-variable systems also get an automatically scaled line-intersection graph.

Exact fractions2×2 + 3×3Gaussian eliminationDetects infinite / none

Coefficient workspace

Each row represents an equation in standard form.

Decimal precision

Exact arithmetic: integer, decimal and fraction coefficients are converted to rational numbers before elimination. Rank is computed from the exact reduced matrix, avoiding common floating-point “almost zero” mistakes.

Solution

x = 2y = 1

Unique solution · exact values shown

✓ Consistent independent system

Graph is available for 2×2 systems. The intersection is the unique solution.