How many solutions does the system of equations have?

Y=6x+2 and 3y-18x=12

We can start by solving the second equation for y:

3y - 18x = 12
3y = 18x + 12
y = 6x + 4

Now we can see that the two equations have the same slope, 6. This means they are parallel lines and will never intersect. Therefore, there are no solutions to this system of equations.