How to Use the Linear System Solver
Enter the coefficients of a 2×2 or 3×3 linear system and click Solve. The calculator uses Cramer's rule to find x, y (and z for 3×3) along with the determinant.
2×2 Cramer's Rule
ax + by = e, cx + dy = f → D = ad − bc, x = (ed − bf)/D, y = (af − ec)/D
3×3 Cramer's Rule
Compute the main determinant D, then replace each variable column with the constant column and divide by D.
FAQ
Can I use decimals as coefficients?
Yes. Both integers and decimals are accepted. For fractions, convert to decimals first (e.g., 1/3 → 0.333).
Does this support 4×4 or larger systems?
No. This calculator supports 2×2 and 3×3 only. Larger systems require Gaussian elimination or matrix inversion.