In mathematics, when a system of linear equations has infinite solutions, it means that there are infinite pairs of values that satisfy all the equations in the system. This can be determined by graphing the equations on a coordinate plane and observing that the graphs coincide with each other, forming the same line. In other words, the lines that represent the equations in the system are completely overlapping or coincide. This overlap indicates that every point on the line is a solution to the system, leading to an infinite number of solutions to the system of equations.
