Systems of Equations Solver
Solve 2x2 and 3x3 systems of linear equations with step-by-step solutions and intersection graph
System Size
About the Systems of Equations Solver
This calculator solves systems of 2 or 3 linear equations using Cramer's Rule with detailed step-by-step solutions. For 2x2 systems, it also graphs both lines and shows the intersection point.
Features
- Solve 2x2 and 3x3 systems of linear equations
- Detects unique solutions, infinite solutions, and no-solution cases
- Step-by-step solution using Cramer's Rule
- Verification of the solution by substitution
- Interactive graph for 2x2 systems showing intersection
- Quick preset examples for common systems
Methods Used
- Cramer's Rule: Uses determinants to solve the system directly
- Determinant check: If D=0, checks for dependent or inconsistent system
- Graphical: 2x2 systems visualized as intersecting lines
Disclaimer:This tool is provided “as is” for informational and educational purposes only. Results may not be 100% accurate. ToolBird makes no warranties, express or implied, regarding the accuracy, reliability, or completeness of any output generated by this tool. This tool does not constitute professional, legal, financial, medical, or tax advice. Always consult a qualified professional for important decisions. By using this tool, you agree that ToolBird and its operators shall not be held liable for any damages, losses, or consequences arising from the use of this tool or reliance on its results. All processing occurs in your browser — we do not store, transmit, or access your data. Use at your own risk.