Cramer's Rule Calculator
Solve a system of linear equations (2x2 or 3x3) using Cramer's Rule. Enter the coefficients and constants to get the solution step by step.
Published by:
isCalculator Editorial Team
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How to use this tool?
This calculator solves systems of linear equations using Cramer's Rule. It supports 2×2 and 3×3 systems.
- Select matrix size – Choose 2×2 or 3×3 from the dropdown.
- Enter coefficients – Fill in the fields for each equation. Use decimal numbers if needed (e.g.,
2.5or-1). - Click "Calculate" – The solution for each variable (x, y, and optionally z) appears, rounded to 4 decimal places.
- Review steps – Below the solution, you'll see the determinant calculations (D, Dx, Dy, Dz) and the final division steps.
Note: If the system has no unique solution, the calculator will indicate infinite solutions (dependent) or no solution (inconsistent).
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Frequently Asked Questions
Cramer's Rule is a method for solving systems of linear equations using determinants. It expresses the solution as ratios of determinants.
Yes, you can toggle between 2x2 and 3x3 systems using the dropdown menu.
If the main determinant is zero, the system either has no solution or infinitely many solutions. The calculator will indicate which case applies.
