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

1 answer:

8 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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