3x + 2y + 2z = 3 ⇒ 3x + 2y + 2z = 3
1x + 2y - 1z = 5 ⇒ 1x + 2y - 1z = 5
2x - 4y + 1z = 0Â Â Â 4x + 4y + 1z = 8
                             4x + 4y + 1z = 8 ⇒ 12x + 12y + 3z = 24
3x + 2y + 2z = 3                3x - 2y     = 5 ⇒ 12x -  8y      = 20
1x + 2y - 1z = 5 ⇒ 1x + 2y - 1z = 5                      20y + 3z = 4
2x - 4y + 1z = 0 ⇒ 2x - 4y + 1z = 0                 20y - 20y + 3z = 4 - 20y
                    3x - 2y = 5                           3z = 4 - 20y
                                                        3     3
                                                        z = 1¹/₃ - 6²/₃y
                                          20y + 3(1¹/₃ - 6²/₃y) = 4
                                              20y + 4 - 20y = 4
                                              20y - 20y + 4 = 4
                                                   0y + 4 = 4
                                                       - 4 - 4
                                                      0y = 0
                                                       0   0
                                                       y = 0
                                                20(0) + 3z = 4
                                                   0 + 3z = 4
                                                      3z = 4
                                                      3   3
                                                      z = 1¹/₃
                                            4x + 4(0) + 1¹/₃ = 8
                                              4x + 0 + 1¹/₃ = 8
                                                 4x + 1¹/₃ = 8
                                                    - 1¹/₃ - 1¹/₃
                                                      4x = 6²/₃                                                             4    4
                                                       x = 1²/₃