For each system of linear equations, do the following:
| a. | Classify each as consistent and independent, consistent and dependent, or inconsistent. | 
| b. | Determine if the system represents two lines intersecting at exactly one point, two lines that coincide, or two distinct parallel lines. | 
| c. | Identify the number of solutions of each system. | 
Choose your answers.
| 
 | 
|     | a. | 
                                                consistent and independent
                                             
                                                consistent and dependent
                                             
                                                inconsistent
                                             
                                            Answer: 
                                            
                                                consistent and dependent
                                            
                                         | 
|     | b. | 
                                                two lines intersecting at exactly one point
                                             
                                                two distinct parallel lines
                                             
                                                two lines that coincide 
                                             
                                            Answer: 
                                            
                                                two lines that coincide
                                            
                                         | 
|     | c. | 
                                                no solution
                                             
                                                exactly one solution
                                             
                                                infinite number of solutions
                                             
                                            Answer: 
                                            
                                              infinite number of solutions
                                            
                                         | 
| 
 | 
|     | a. | 
                                                consistent and independent
                                             
                                                consistent and dependent
                                             
                                                inconsistent
                                             
                                            Answer: 
                                            
                                                consistent and independent
                                            
                                         | 
|     | b. | 
                                                two lines intersecting at exactly one point
                                             
                                                two distinct parallel lines
                                             
                                                two lines that coincide 
                                             
                                            Answer: 
                                            
                                               two lines intersecting at exactly one point
                                            
                                         | 
|     | c. | 
                                                no solution
                                             
                                                exactly one solution
                                             
                                                infinite number of solutions
                                             
                                            Answer: 
                                            
                                              exactly one solution
                                            
                                         | 
