How many solutions does the system of equations have? y = 6x + 2 and 3y – 18x = 12

We can start by rearranging the second equation to solve for y:

3y – 18x = 12
3y = 18x + 12
y = 6x + 4
Now we can see that both equations have the same slope (6), but different y-intercepts (2 and 4). Therefore, the two lines represented by these equations are parallel and will never intersect. So, there are no solutions to this system of equations.