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Jaylene Sexton
Mathematics
22 September, 15:10
System of equation
4a + 9b = 8
8A + 6c=-1
6b+6c=-1
+4
Answers (
1
)
Tristan Cabrera
22 September, 15:37
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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