System of Equations Solver
Solve two linear equations in x and y by Cramer's rule.
Quick answer: enter your details below and click Solve System — your result appears instantly, right here in your browser. Nothing you enter is uploaded or stored.
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How to use
- Enter the first equation's coefficients.
- Enter the second equation's coefficients.
- Click Solve System.
About this tool
Enter the coefficients of a1x + b1y = c1 and a2x + b2y = c2. The tool applies Cramer's rule with the determinant and shows x and y. If the determinant is zero, the lines are parallel or identical, so there is no single solution.
Frequently asked questions
What does a zero determinant mean?
The lines never meet at one point: they are parallel or the same line.
Can I check the answer?
Yes. Put x and y back into both equations; both sides must match.