A system of two linear equations can have one solution, an infinite number of solutions, or no solution. Systems of equations can be classified by the number of solutions. If a system has at least one solution, it is said to be consistent . If a consistent system has exactly one solution, it is independent.
If the system in two variables has one solution, it is an ordered pair that is a solution to both equations. In other words, when you plug in the values of the ordered pair it makes both equations TRUE.