How to use this calculator
Cramer’s rule solves a two-variable linear system when the coefficient determinant is nonzero.
The method
Enter your values in the labeled fields and choose Calculate. The result panel shows the answer and supporting values when useful.
a₁: 2, b₁: 3, c₁: 13, a₂: 1
Select Calculate to evaluate these example values.
Scope and limitations
A zero determinant means the equations are dependent or inconsistent; this tool reports that classification rather than inventing a unique solution.
Common questions
Can I use different units?
Use consistent units unless this page is a unit converter. The result follows the units implied by the inputs.
Are results exact?
Displayed values may be rounded. Keep extra precision for important follow-up calculations.
Methods & verification
Formulas use standard mathematical definitions and fixed unit factors where applicable. See our methodology for numerical conventions, rounding, privacy, and limitations.