1) {2(x+y)-x+6=0, 3x-(x-y)=0}

1. Simplify the equations:
2x + 2y - x + 6 = 0 => x + 2y + 6 = 0
3x - x + y = 0 => 2x + y = 0
2. From the second equation, y = -2x. Substitute into the first equation:
x + 2(-2x) + 6 = 0 => x - 4x + 6 = 0 => -3x = -6 => x = 2
3. Substitute x = 2 back into y = -2x:
y = -2(2) => y = -4
Answer: x = 2, y = -4