Question

Solve the system 2x + 3y = -6 and 3x - 2y = 11

Answer 1

Answer:

Step-by-step explanation:

Answer 2

$2x + 3y = - 6 \\ \\ 1. \: 2x = - 3y - 6 \\ 2. \: \frac{2x}{2} = \frac{ - 3y - 6}{2} \\ x = \frac{ - 3}{2} y - 3 \\ or \\ 1. \: 2x = - 6 - 3y \\ 2. \: x = \frac{ - 6 - 3y}{2} \\ 3. \: x = \frac{ - 3(2 + y)}{2} \\ 4. \: x = - \frac{3(2 + y)}{2} \\ \\ \\ 3x - 2y = 11 \\ 1. \: 3x = 2y + 11 \\ 2. \: \frac{3x}{3} = \frac{2y + 11}{3} \\ x = \frac{2}{3}y + \frac{11}{3} \\ or \\ 1. \: 3x = 11 + 2y \\ 2. \: x = \frac{11 + 2y}{3}$