About the Linear System Solver

The Linear System Solver uses Gaussian elimination with partial pivoting to solve any system of 2 to 5 linear equations accurately. The augmented matrix interface lets you enter coefficients directly, and the tool verifies each solution by back-substitution.

How to use the Linear System Solver

  1. Select the number of variables (2–5).
  2. Enter coefficients in the augmented matrix — each row is one equation.
  3. Click Solve.
  4. Solutions are verified automatically.

Frequently asked questions

Is this tool free to use?

Yes. The Linear System Solver is completely free with no sign-up and no limits.

Is my data uploaded to a server?

No. All calculations run in your browser using JavaScript. Nothing is sent to any server.

Does it work offline?

Yes. Once the page is loaded, all computations work without an internet connection.

Does it work on mobile?

Yes, it works in any modern browser on desktop, tablet and mobile.

Related tools

Polynomial Solver
Quadratic, cubic and quartic roots
Matrix Calculator
Determinant, inverse, rank
Statistics Calculator
Mean, SD, quartiles
Trigonometry Calculator
All trig functions
Number Theory Tools
GCD, LCM, prime factors
Binomial Expander
Expand (ax+by)ⁿ

Related keywords

linear equations solversystem of equationsgaussian eliminationsimultaneous equations2x2 3x3 linear system