Linear Equation Solver (Cramer's Rule)

For a system with coefficient determinant D ≠ 0, each variable equals Dᵢ ÷ D, where Dᵢ is D with that variable's column replaced by the constants. For 2x + 3y = 13 and x − y = −1: D = −5, Dx = −10, Dy = −15, so x = 2 and y = 3.

Then there is no single solution. The equations either contradict each other (parallel lines — no solution) or describe the same line or plane (infinitely many solutions). The calculator tells you which.

Type the coefficients 1 and −1 and the constant −1. Use 0 for a missing variable.