Why could a system of linear equations have two solutions?

A system of linear equations cannot have two distinct solutions if it is consistent and defined in a Euclidean space. If two linear equations intersect at a single point, they have one solution; if they are parallel, they have no solutions. However, if the equations are dependent, meaning one equation is a multiple of the other, they represent the same line and thus have infinitely many solutions, not just two. Therefore, in standard scenariOS, a system of linear equations can either have one solution, no solutions, or infinitely many solutions, but not exactly two.