System of equation

4a + 9b = 8

8A + 6c=-1

6b+6c=-1

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)