2y = 4x + 2 I'll call this equation A
y + 3 = 2x and this equation B
I would first simplify both equations so that they are in y = mx + b form. I will do this by dividing out 2 from each term in equation A and by subtracting 3 from both sides in equation B.
2y = 4x + 2 -> y = 2x + 1
y + 3 = 2x -> y = 2x - 3
Now we can see that both equations have a slope of 2. When two lines' slopes are equal, then they are parallel. Since they are not the same line (which would mean they would have the same slope and y-intercept), they do not intersect, and so there are no solutions for this system.