About this tool
Solve a system of 2 to 6 linear equations.
The coefficients form an augmented matrix that is reduced with Gauss–Jordan elimination. A zero determinant means there is no single unique solution.
Formula: A·x = b
Example: Equations = 2 1 = 5 1 -1 = 1 → Solution = x1 = 2, x2 = 1.
One equation per line: the coefficients of x₁, x₂, … then the right-hand side, e.g. “2 1 = 5” for 2x₁ + x₂ = 5.
Quick steps
- Enter your values — every field shows its unit.
- Press Calculate (or Try an example to see how it works).
- Read the results and copy them if you need them elsewhere.
The calculation runs in your browser. Nothing you type is sent to 1CLIK.
FAQ
How does the System of Equations Calculator work?
The coefficients form an augmented matrix that is reduced with Gauss–Jordan elimination. A zero determinant means there is no single unique solution.
What should I keep in mind?
One equation per line: the coefficients of x₁, x₂, … then the right-hand side, e.g. “2 1 = 5” for 2x₁ + x₂ = 5.
Is my data sent anywhere?
No. The numbers stay on your device; the page only shows the result.