**Graphs of Linear Systems in Two Variables**

**a. **The two graphs intersect in a single point. The coordinates of this point give the only solution of the system. In this case the system is **consistent, **and the equations are **independent. **This is the most common case. See figure (a).

**b. **The graphs are parallel lines. In this case the system is **inconsistent; **that is, there is no solution common to both equations of the system, and the solution set is Ø . See Figure (b).

**c. **The graphs are the same line. In this case the equations are **dependent, **since any solution of one equation of the system is also a solution of the other. The solution set is an infinite set of ordered pairs representing the points on the line. See Figure (c).