infinite solutions to system of equations
Case 3: Infinite Solutions. This is the rarest case and only occurs when you have the same line. Consider, for instance, the two lines below (y = 2x+1 and 2y = 4x +2). These two equations are really the same line . Example of a system that has infinite solutions: Line 1: y = 2x + 1. Line 2: 2y = 4x + 2.