To solve the system of equations, we can use the method of substitution or elimination. Let's use the method of substitution.
From the first equation, we can solve for y:
3x + y = 2
=> y = 2 - 3x
Now we substitute this value of y into the second equation:
7x - 4(2 - 3x) = 30
=> 7x - 8 + 12x = 30
=> 19x - 8 = 30
=> 19x = 38
=> x = 2
We can substitute this value of x back into the first equation to solve for y:
3(2) + y = 2
=> 6 + y = 2
=> y = -4
Therefore, the solution to the system of equations is (2, -4).