# Online Calculator for 3x3 linear equation systems

## Calculator linear equations

Solving of the equation system with Cramers Rule, Gaussian Method and Gauss-Jordan approach.

The solver calculates the solution of the equation system step by step with the Cramers Rule and the Gaussian Method.

### Linear equation system with three equations and the three unknowns x, y and z

$\begin{array}{c}{a}_{11}x+{a}_{12}y+{a}_{13}z={b}_{1}\\ {a}_{21}x+{a}_{22}y+{a}_{23}z={b}_{2}\\ {a}_{31}x+{a}_{32}y+{a}_{33}z={b}_{n}\end{array}$

Number of digits =

Enter the coefficients: a11, a12, ... and b1, ...

### Cramer's rule

Solve of the equation system with Cramer's rule. A step by step calculator for solving 3x3 determinats is here: Solver 3x3 determinants

### Gauss algorithm

Solve of the equation system with Gaussian method. The Gaussian method transforms the matrix in row echelon form.

The entered coefficient matrix is:

### Alternative calculation using the reduced row echelon form (Jordan method)

The solution of the equation system is now in the right column of the coefficient matrix and can be read directly.

## More Calculators

Here is a list of of further useful calculators and sites:

Index Linear Equations Linear Equation Systems Calculator 2x2 systems Calculator 3x3 systems Calculator NxN Cramer's rule Calculator NxN Gauss method Matrix Determinant