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Julli [10]
4 years ago
14

System of equation 4a +9b =8 8A +6c=-1 6b+6c=-1

Mathematics
1 answer:
lozanna [386]4 years ago
8 0
4a + 9b + 0c = 8   ⇒ 4a + 9b + 0c = 8
8a + 0b + 6c = -1 ⇒<u> 8a + 0b + 6c = -1</u>
0a + 6b + 6c = -1   12a + 9b + 6c = 7
                                                         12a + 9b +   6c = 7 ⇒ 24a + 18b + 12c = 14
4a + 9b + 0c = 8                                 8a + 6b + 12c = 0 ⇒ <u>24a + 18b + 36c = 0</u>
8a + 0b + 6c = -1 ⇒ 8a + 0b + 6c = -1                                                   <u>-24c</u> = <u>14</u>
0a + 6b + 6c = -1 ⇒ <u>0a + 6b + 6c = -1</u>                                                    -24    -24
                               8a + 6b + 12c = 0                                                          c = ⁷/₁₂
                                                                                                      6b + 6(⁷/₁₂) = -1
                                                                                                         6b + 3¹/₂ = -1
                                                                                                        <u>       - 3¹/₂   - 3¹/₂</u><u>
</u>                                                                                                                   <u>6b</u> = <u>-4¹/₂
</u>                                                                                                                    6        6<u>
</u>                                                                                                                    b = ³/₄
                                                                                                      4a + 9(³/₄) = 8
                                                                                                        4a + 6³/₄ = 8
                                                                                                        <u>     - 6³/₄   - 6³/₄
</u>                                                                                                                  <u>4a</u> = <u>1¹/₄</u>
                                                                                                                   4       4
                                                                                                                    a = ⁵/₁₆
                                                                                      (a, b, c) = (⁵/₁₆, ³/₄, ⁷/₁₂)

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