The system of equations is it consistent, dependent, independent, or none or of the above

Question

Is the equation consistent,dependent,independent,or none of the above y=3x-7 or y=3x=5 

Answer 1

When the equations are the same, the system is dependent and has infinite solutions. Therefore this system is independent.

 

An independent system can be either consistent (lines intersect and there is one solution) or inconsistent (lines are parallel and there is no solution).

 

This system is inconsistent because the lines are parallel. We know this because they have the same slope.

 

In summary, the system is independent and inconsistent.