Answer:
No. There is a solution.
Explanation:
Pages aren't infinite, but lines are! Lines just keep going forever. If the lines aren't parallel, then they will intersect at some point. The point of intersection is the solution to the system. Just because its not on the page doesn't mean it doesn't exist. We just need a bigger page...or maybe, a bigger imagination...or maybe smaller scale on the graph...or maybe a computer graphing utility...or maybe a piece of paper and a pencil to solve the system algebraically!
The solution is out there!
see image