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Equation System Solver

Solve systems of two or three simultaneous linear equations in one step.

Solve a system of equations

Solution: —
—
Each row is one equation: coefficients of x, y and z, then the constant after the equals sign.

How to use the Equation System Solver

  1. Choose whether the system has two or three unknowns.
  2. Type the coefficients and the constant of each equation.
  3. Read the value of every unknown from the result panel.

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Frequently Asked Questions

Common questions about the free online equation system solver.

Pick two or three unknowns, enter each equation, and every variable value is calculated instantly as you type.
It uses Cramer's rule, which replaces one column of the coefficient matrix with the constants and divides by the determinant.
When the determinant of the coefficient matrix is zero the system has no unique solution, so the tool reports that.
Enter the coefficient of each unknown and the constant on the right of the equals sign for every equation in the system.
No. All arithmetic happens locally in your browser, so your equations never leave your device.
Yes. The solver is responsive and works in any modern browser on a phone, tablet or desktop.
Yes. It is completely free, with no account, no sign-up and no limit on the number of systems.
A system of linear equations models problems with several related unknowns, such as prices, currents or mixture amounts.

Last updated: October 10, 2026