Systems of equations with different slopes and different y-intercepts have more than one solution.

A system of two linear equations is represented graphically as straight lines.
If the two slopes are equal, and the y-intercepts are equal, then you have a single line.
In this case, there is an infinite number of solutions. The solutions are all the points on the single line.

In the case of this problem, the two lines have different slopes. That is enough for the lines not to be the same line, and also for the lines not to be parallel. These two lines must intersect. The intersection of two different lines is a single point. That point is the solution of the system of equations. Therefore, this system of equations has one single solution. The statement is false.