To solve this system of equations, we can use the method of elimination. We will add the two equations together, which will eliminate the y variable:
(3x - 2y) + (x + 2y) = 7 + (-3)
Simplifying, we get:
4x = 4
Dividing both sides by 4, we get:
x = 1
Substituting x = 1 into one of the equations, we get:
1 + 2y = -3
Solving for y, we get:
y = -2
Therefore, the solution to the system of equations is x = 1, y = -2.
So, the correct option is (a) x = 1, y = -2.