Linear Equation Solver

Solve systems of two or three linear equations.

Instant · runs in your browser
Loading tool…

About the Linear Equation Solver

Solve systems of two equations in x and y, or three equations in x, y and z. Enter the coefficients and get the solution with elimination steps, or a note if the system has no or infinitely many solutions.

Example

2x + y = 7 and x − y = 2 give x = 3, y = 1.

How to use Linear Equation Solver

  1. Enter your values. Units and defaults are shown beside each field.
  2. Press Calculate (results also update as you type once calculated).
  3. Read the result and the step-by-step breakdown with the formula used.
  4. Copy the result or reset to start again.

Frequently asked questions

How accurate is this calculator?

Calculations use the standard formulas shown on the page, computed in full precision and rounded only for display. The result is only as accurate as the inputs and assumptions listed.

Is it free?

Yes. All tools are free to use without an account.