2) {3(x+2y)-y-27=0, 4(x+y)-3x-23=0}

1. Simplify the equations:
3x + 6y - y - 27 = 0 => 3x + 5y = 27
4x + 4y - 3x - 23 = 0 => x + 4y = 23
2. From the second equation, x = 23 - 4y. Substitute into the first equation:
3(23 - 4y) + 5y = 27 => 69 - 12y + 5y = 27 => -7y = 27 - 69 => -7y = -42 => y = 6
3. Substitute y = 6 back into x = 23 - 4y:
x = 23 - 4(6) => x = 23 - 24 => x = -1
Answer: x = -1, y = 6