Choose language

PL, EN, ES, DE, FR, RU

# Gaussian Elimination - Solving any systems of equation - calculator

You can calculate with explanations any system of linear equations, both homogeneous and heterogeneous with any number of unknowns by Gaussian elimination method. As a result, apart from the solution, you will also receive a complete analysis and a step-by-step calculation.
To get the result, enter the coefficients in empty cells or by clicking on , change to the text field and enter the coefficients separated by a space. You can also enter full equations with unknowns in the text field (click the example below).

You can add or subtract another equation and coefficients using the buttons or position the cursor over a cell in the last row or column and press the arrow in the appropriate direction on the keyboard.

You can move around cells using tabs, spaces or arrows on the keyboard.

In each field of the calculator you can enter decimal numbers, simple fractions, basic mathematical operation, for example: 1.5; 1/2; 5 + 2; 5-2; 5 * 2; 1/2 + 5; 5 * (8 + 2); (5-2) / 2; 1.5e-3; 1.5 (3); (2/5) * (1/2); 5 + 2 * (5 / 3-2); etc.

You can also enter data into the calculator from the result obtained, just grab any matrix from the results and drop it on cells or a text field.

The results are stored in cookies, which means that the result will be saved until you click .
Thanks to the stored results, you can compare the actions using other linear equation calculators available on our website, eg.
• Solving System of linear equations by Cramer's method
• Solving Systems with Gauss-Jordan Elimination calculator
• System of equations using the inverse matrix method

• Example 1:
2x-2y+z=-3 x+3y-2z=1 3x-y-z=2
Example 2:
2x-0y+z=2 x-3y-0z=1 x+y-2z=0
Example 3:
2x-2y+z-w=7 -x+4y-5z+3w=1 x+y-z+w=4 -4x+2y+z-2w=6

## Solving Systems with Gaussian Elimination

 decimal fractions , number of decimal places =

Result

Have you counted? - like and share

Useful information

 System of linear equations - Wikipedia (EN)Matrix - Wikipedia (EN)

## Users of this calculator also used

### Rail Fence, Zig-Zag - encoder / decoder

Rail Fence, Zig-Zag cipher online encoder and decoder. Encrypt and decrypt any cipher created in a Rail Fence, Zig-Zag cipher.

### Matrix 2x2 calculator

Thanks to the mathematical calculator, you can easily calculate the determinant of the matrix, find the complement matrix, the transposed matrix, and the inverse matrix.

### Online tool for drawing graphs of any function.

With this online function graph plotter, you can draw any function. On one graph you can draw any three functions and compare their parameters. You can create graphs for many equations and functions.

### Centrifugal force

With this calculator you can quickly calculate the centrifugal force. You will also calculate the mass of the body from velocity, radius and force, the radius of the circle given the mass of the body, the force and speed and the speed of the object moving in the circle given the given force, mass and radius.

### CATENARY Calculator - Chain curve

With the CATENARY Trigonometric Function Calculator, you can calculate catenary chain curve values. In addition to the response results, the calculator will also plot the selected function. You can choose a ready-made function, e.g. cat(?#X) where for ? you will substitute e.g. 2 for catenary two which will be equal to 2*cosh(x/2) or enter your own function e.g. cat(2#x^2) for 2*cosh((x^2)/2), cat(2#x+3) for 2*cosh((x+3)/2) etc.

### Harmonic mean calculator

With this calculator you will calculate the harmonic mean.

### Percent concentration - weight

Using this calculator you can calculate the percentage concentration, also called the percentage by weight of chemical substances in mixtures and solutions.