Question

Solve the system by substitution. -6y = x x +y = -30

Answer 1

Answer:

$- 6y = x \\ \\ y = - \frac{x}{6} \\ \\ \\ x + y = - 30 \\ x + ( - \frac{x}{6} ) = - 30 \\ \\ x - \frac{x}{6} = - 30 \\ \\ \frac{6x}{6} - \frac{x}{6} = - 30 \\ \\ \frac{6x - x}{6} = - 30 \\ \\ \frac{5x}{6} = - 30 \\ \\ 5x = - 30 \times (6) \\ \\ 5x = - 180 \\ \\ x = - \frac{180}{5} \\ \\ x = - 36 \\ \\ \\ \\ y = - \frac{x}{6} \\ \\ y = - \frac{( - 36)}{6} \\ \\ y = \frac{36}{6} = 6 \\ \\ y = 6 \\ \\ ( - 36 \: , \: 6)$