About the System of Equations Calculator
Solve systems of 2, 3 or more linear equations (x, y, z …) typed naturally, e.g. 2x + 3y = 13, x − y = −1.
Also known as: simultaneous equations, system of linear equations, solve two equations, 3 variable system, linear system solver.
How to use this calculator
- Enter equations (one per line).
- The result updates instantly as you type — press Calculate (or Enter) at any time.
- Review the breakdown shown under the main result.
- Use Copy result or Share to save the answer or send a link with your inputs.
Formula
A·x = b ⇒ x = A⁻¹·b (Gaussian elimination)
Worked example
Using the values pre-filled in the calculator above:
- Equations (one per line): 2x + 3y - z = 5 x - y + 2z = 3 3x + y + z = 10
the calculator returns:
- x: 4.6
- y: -2
- z: -1.8