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raketka [301]
3 years ago
14

Solve by the linear combination method (with or without multiplication). 8g – 5h = 7 4g + 10h = 1

Mathematics
1 answer:
ZanzabumX [31]3 years ago
5 0
8g -    5h = 7 ⇒ 16g -  10h = 14
4g + 10h = 1 ⇒   4g + 10h =   1
                                    12g = 13
                                     12     12
                                        g = 1¹/₁₂
                               8g - 5h = 7
                        8(1¹/₁₂) - 5h = 7
                              8²/₃ - 5h = 7
                            - 8²/₃         - 8²/₃
                                     -5h = -1²/₃
                                      -5       -5
                                        h = ¹/₃
                                  (g, h) = (1¹/₁₂, ¹/₃)
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