About This Calculator
This calculator solves a system of two linear equations with two variables (x and y) using the determinant method. It provides the unique solution if it exists.
How It Works
Enter the coefficients of the equations in the form:
a₁x + b₁y = c₁
a₂x + b₂y = c₂
a₂x + b₂y = c₂
The calculator computes the determinant (D) of the coefficient matrix. If D is not zero, it calculates the values of x and y using Cramer's rule.
Frequently Asked Questions
What if the determinant is zero?
If the determinant is zero, the system does not have a unique solution. It may have no solution or infinitely many solutions.
Can this calculator solve larger systems?
No, this calculator is specifically designed for 2x2 systems. For larger systems, you would need a different method or calculator.