Question

Show all Work; Solve using the substitution method: y=x-6 3x-2y=8

Answer 1

Step-by-step explanation:

$y = x - 6...(1) \\ 3x - 2y = 8...(2) \\ substituting \: y = x - 6 \: in \: equation \: (2) \\ 3x - 2(x - 6) = 8 \\ 3x - 2x + 12 = 8 \\ x = 8 - 12 \\ x = - 4 \\ \implies \: y = x - 6 = - 4 - 6 = - 10 \\ \therefore \: y = - 10 \\ \therefore \: \{x, \: \: y \} = \{ - 4, \: \: - 10 \}$