Systems of Equations Solver

Solve 2x2 and 3x3 systems of linear equations with step-by-step solutions and intersection graph

10.8Kuses
8.5/10(270)

System Size

Enter coefficients: ax + by = c
Eq.1:
x +
y =
Eq.2:
x +
y =
Try:

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

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Disclaimer: This tool is provided as-is for informational and educational purposes only.

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