Solve the system of equations: 2x - 3y = 8, 7x - 5y = -5

Multiply the first equation by 5 and the second by 3 to eliminate y:

1. 10x - 15y = 40
2. 21x - 15y = -15

Subtract the first modified equation from the second:

1. (21x - 15y) - (10x - 15y) = -15 - 40
2. 11x = -55
3. x = -5

Substitute x = -5 into the first original equation:

1. 2(-5) - 3y = 8
2. -10 - 3y = 8
3. -3y = 18
4. y = -6

The solution is x = -5, y = -6.