Solve the system of equations: 4x + 3y = 14, 5x - 3y = 25

Add the two equations: (4x + 3y) + (5x - 3y) = 14 + 25, which simplifies to 9x = 39, so x = 39/9 = 13/3.

Substitute x = 13/3 into the first equation: 4(13/3) + 3y = 14, so 52/3 + 3y = 14. Then 3y = 14 - 52/3 = (42 - 52)/3 = -10/3. Thus, y = -10/9.

Solution: x = 13/3, y = -10/9.