Solve the system of equations: 2x - 2y = 6, 3x + 4y = 2

Multiply the first equation by 2: 4x - 4y = 12

Add this to the second equation: (4x - 4y) + (3x + 4y) = 12 + 2

7x = 14

x = 2

Substitute x = 2 into the first equation:

2(2) - 2y = 6

4 - 2y = 6

-2y = 2

y = -1

Solution: x = 2, y = -1