5x-2y=7 3x+4y=25

Solve the system:

1. 5x - 2y = 7
2. 3x + 4y = 25

Use elimination: multiply (1) by 2 → 10x - 4y = 14. Add to (2): (10x - 4y) + (3x + 4y) = 14 + 25 → 13x = 39 → x = 3.

Plug into (1): 5(3) - 2y = 7 → 15 - 2y = 7 → -2y = -8 → y = 4.

Solution: x = 3, y = 4. Quick check: 5(3) - 2(4) = 7 and 3(3) + 4(4) = 25.