3x + 2y = 5 7x - 5y = 2

Multiply the first equation by 5 and the second by 2: 15x + 10y = 25 and 14x - 10y = 4. Add the two equations: (15x + 10y) + (14x - 10y) = 25 + 4 => 29x = 29 => x = 1. Substitute x = 1 into the first equation: 3(1) + 2y = 5 => 3 + 2y = 5 => 2y = 2 => y = 1.

Answer: x = 1, y = 1