System of Equations Solver

Enter two equations in standard form to solve the intersection using determinants.

Enter a₁x + b₁y = c₁ and a₂x + b₂y = c₂.

a₁

b₁

c₁

a₂

b₂

c₂

x = 3, y = 1Unique intersection

-3Determinant

one solutionSystem type

How to use this System of Equations Solver

Solve a 2×2 system of linear equations and identify unique, none, or infinite solutions. Enter your values above and the result is calculated directly in your browser. No account is required.

Fast answer, clear inputs

This tool is built around one job: give the answer quickly without forcing a signup or hiding the result. Related tools are linked nearby when the next calculation or conversion is useful.