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17 April, 13:31

System of equation

4a + 9b = 8

8A + 6c=-1

6b+6c=-1

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Answers (1)
  1. 17 April, 16:30
    0
    4a + 9b + 0c = 8 ⇒ 4a + 9b + 0c = 8

    8a + 0b + 6c = - 1 ⇒ 8a + 0b + 6c = - 1

    0a + 6b + 6c = - 1 12a + 9b + 6c = 7

    12a + 9b + 6c = 7 ⇒ 24a + 18b + 12c = 14

    4a + 9b + 0c = 8 8a + 6b + 12c = 0 ⇒ 24a + 18b + 36c = 0

    8a + 0b + 6c = - 1 ⇒ 8a + 0b + 6c = - 1 - 24c = 14

    0a + 6b + 6c = - 1 ⇒ 0a + 6b + 6c = - 1 - 24 - 24

    8a + 6b + 12c = 0 c = ⁷/₁₂

    6b + 6 (⁷/₁₂) = - 1

    6b + 3¹/₂ = - 1

    - 3¹/₂ - 3¹/₂

    6b = - 4¹/₂

    6 6

    b = ³/₄

    4a + 9 (³/₄) = 8

    4a + 6³/₄ = 8

    - 6³/₄ - 6³/₄

    4a = 1¹/₄

    4 4

    a = ⁵/₁₆

    (a, b, c) = (⁵/₁₆, ³/₄, ⁷/₁₂)
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