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12x + 2y + 3z  =  18
  x - 3y + 12z =  6
 -x + 8y + 2z  = -32

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#include <iostream>
#include <cmath>

using namespace std;

int main()
{
    double x = 0.0;
    double y = 0.0;
    double z = 0.0;

    for (int i = 0; i < 30; ++i) {
        x = (1/12.0) * (18 - (2 * y + 3 * z));
        y = -(1/3.0) * (6 -(x + 12 * z));
        z = (1/ 2.0) * (-32 - (-x + 8 * y));

        cout << "Schritt(" << i << "): x: " << x << ", y: " << y << ", z: " << z << endl;
    }

    return 0;}

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Schritt(0): x: 1.5, y: -1.5, z: -9.25
Schritt(1): x: 4.0625, y: -37.6458, z: 136.615
Schritt(2): x: -26.3793, y: 535.665, z: -2171.85
Schritt(3): x: 455.185, y: -8537.67, z: 34362.3
Schritt(4): x: -7166.13, y: 135058, z: -543833
Schritt(5): x: 113450, y: -2.13752e+06, z: 8.60678e+06
Schritt(6): x: -1.79544e+06, y: 3.38286e+07, z: -1.36212e+08