Answer: One solution.
The reason why it is one solution is because you need to figure out the commonality between the two lines. What does this mean? Well, we need to figure out a solution that would prove a link between the two.
We see that there is a point of intersection, and no other points. This means there is only ONE link between the two; one solution.
NEW: The point of intersection could be labeled x. We need a number that satisfies both equations, so there should be only one solution to satisfy both-x.
You could prove this using an equation, but you can already tell by looking at it. If you would like, I'll help you figure out the equation, it may make more sense.
Hope this helps you out! Feel free to ask questions!