System of equations calculator

System of equations calculator - this finding the unknown variables included in the equations, the substitution of which the system turns into equality.

The system of linear equations can be solved in various ways, for example, using Cramer's method and Gauss method, Gauss Jordan method and the Kronecker Capelli method, or in other ways. Using our service, you can get free solutions online in different ways with step-by-step actions and explanations. Our calculator will also be useful if you need to check your own calculations.


Our online service allows us to solve systems of linear algebraic equations in various ways:

  • by Cramer's method (Cramer's rule)
  • inverse matrix method
  • by the Gauss-Montante method (the Bareys algorithm)
  • by the method of Gauss (method of sequential elimination of variables)
  • by the Gauss-Jordan method (the method of completely eliminating unknowns)

In this case, the service provides a sequence of solutions, not just the answer.

In addition, you can check the system of equations for compatibility.

  • Use the + and - signs to specify the required number of variables in the equation. If your equation does not include any unknowns, then just leave the fields blank (blank).
  • In cells, specify the coefficients (values) for unknowns. If the initial data indicates the value x1, x2 and so on, in the cell before the specified unknowns, specify the value 1.
  • Values for unknowns can be:
    • whole numbers: 7, -3, 0
    • decimal (finite and periodic) fractions: 7/8, 6.13, -1.3(56), 1.2e-4
    • arithmetic expressions: 1/2+3*(6-4), (6-y)/x^3, 2^0.5
  • Then click on the button with the name of the required mathematical operation.
  • The values in the solution results can be dragged with the mouse to the source data field.

System of linear equations (theory)

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