1. Simplify the equations:
5x - 2y - 8 = 0 => 5x - 2y = 8
12x + 18 - y - 41 = 0 => 12x - y = 23
2. From the second equation, y = 12x - 23. Substitute into the first equation:
5x - 2(12x - 23) = 8 => 5x - 24x + 46 = 8 => -19x = 8 - 46 => -19x = -38 => x = 2
3. Substitute x = 2 back into y = 12x - 23:
y = 12(2) - 23 => y = 24 - 23 => y = 1
Answer: x = 2, y = 1