Linear Equation Solver (2×2)

Solve for x and y in a 2×2 system.

How to use

  1. Enter your values in the fields above.
  2. Press Calculate to see your result instantly.
  3. Use the Share button to copy a link to your result.

About this calculator

This solver finds x and y for a system of two linear equations in two unknowns, using elimination/substitution logic equivalent to Cramer's rule with determinants, and flags the system as having no solution (parallel lines) or infinite solutions (identical lines) when that's the case.

It's used by students checking algebra homework, and by anyone solving a real-world two-variable problem that reduces to simultaneous equations, like finding a break-even point, mixing two solutions to a target concentration, or balancing a simple budget with two constraints.

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