Cramer's Rule Calculator
Result
Cramer's Rule Calculator (2×2) The Cramer's Rule Calculator solves a 2×2 system of linear equations using determinants. Enter the coefficients and constants for a₁₁x + a₁₂y = b₁ and a₂₁x + a₂₂y = b₂. — free online calculator.
Formula
- Cramer's Rule Calculator calculates its result from Det A, Det, Ax, Det A Y. It uses the formula x = det(Aₓ) ÷ det(A), y = det(A_y) ÷ det(A). Change any input to recalculate the result instantly.
- The main inputs are Det A, Det, Ax, Det A Y. Enter them in the units and format shown in the calculator.
- Keep comparable quantities in compatible units whenever the formula combines or compares them.
- Changing any input above recalculates the result with the same calculation engine used by this page.
Example: Cramer's Rule
- Det A: 2
- Det: 3
- Ax: 4
- Det A Y: 5
Using Det A = 2, Det = 3, Ax = 4, Det A Y = 5, the calculated result is 2.5.
Sample result: Calculating…
Frequently asked questions
What does the Cramer's Rule calculate?
Cramer's Rule Calculator (2×2) The Cramer's Rule Calculator solves a 2×2 system of linear equations using determinants. Enter the coefficients and constants for a₁₁x + a₁₂y = b₁ and a₂₁x + a₂₂y = b₂. — free online calculator.
Which values should I enter?
Enter Det A, Det, Ax, Det A Y using the units and format shown beside each field.
What formula does this calculator use?
The calculator uses the following relationship: x = det(Aₓ) ÷ det(A), y = det(A_y) ÷ det(A).
Why might my result differ from another source?
Results can differ when another source uses different units, rounding rules, conventions or assumptions. Compare the inputs and definitions before comparing results.
Does the result update automatically?
Yes. Changing an input updates the result using the same calculation engine shown on this page.