System of Equations (2×2)
This solver handles a system of two linear equations, a₁x + b₁y = c₁ and a₂x + b₂y = c₂. It computes the coefficient determinant D, then x and y from the ratios Dₓ/D and Dᵧ/D. When D = 0 the lines are parallel or identical and no unique solution exists.
Frequently asked questions
What method is used?
Cramer's rule: the unknowns are ratios of determinants, x = Dₓ/D and y = Dᵧ/D.
What does D = 0 mean?
A zero determinant means the two lines are parallel (no solution) or identical (infinitely many) — there is no single solution.
How do I enter my equations?
Write each equation in the form ax + by = c and enter the six coefficients a₁, b₁, c₁, a₂, b₂, c₂.