We are given two lines, that represent a system of equations. The way to know the number of solutions is by checking the number of points where both lines intersect.
So, if the lines intersect at one point, then there is an unique solution. If the lines intersect at all points (hence they are the same line) there are infinitely many solutions.
This means that if the lines don't intersect, there are no solutions.
In this case, as the lines don't intersect, there are no solutions