Determine if the system is independent inconsistent or dependent

Question

 

Determine whether the system is independent, dependent, or inconsistent. You may solve them or graph them. See page 120 in your textbook when classifying a system.

  

       4x + y = 12

 

       4x - y = 12

Answer 1

This is an independent system as none of the equations can be derived from any of the other equations in the system. It's consistent because there is at least one solution (3,0).