To solve this system of equations, we can use the elimination method.
First, multiply the first equation by 4 to match the y coefficient in the second equation:
12x + 4y = 8
Then, we will subtract the first equation from this new equation:
(12x + 4y = 8)
-(7x - 4y = 30)
5x = -22
x = -22/5
x = -4.4
Now, substitute x back into the first equation to find y:
3(-4.4) + y = 2
-13.2 + y = 2
y = 2 + 13.2
y = 15.2
Therefore, the solution to the system of equations is (-4.4, 15.2). which is closest to (-2, 8) in the given options.