4) {2x+3(x+y)-11=0, 7(x+3y)-6x+59=0}

1. Simplify the equations:
2x + 3x + 3y - 11 = 0 => 5x + 3y = 11
7x + 21y - 6x + 59 = 0 => x + 21y = -59
2. From the second equation, x = -59 - 21y. Substitute into the first equation:
5(-59 - 21y) + 3y = 11 => -295 - 105y + 3y = 11 => -102y = 11 + 295 => -102y = 306 => y = -3
3. Substitute y = -3 back into x = -59 - 21y:
x = -59 - 21(-3) => x = -59 + 63 => x = 4
Answer: x = 4, y = -3