# How do you know by looking at a graph that a system of equations has infinite solutions?

##### 1 Answer

Nov 23, 2014

I assume that you are working with a linear system with two variables here. If the graphs of the equations happen to be identical, then we know that the system has infinitely many solutions since there are infinitely many intersection points between the lines, and those intersection points represent the solutions of the system.

I hope that this was helpful.