Classify the system as consistent or inconsistent, and dependent or independent.
-4x - 5y = -4
16x - 20y = -16
A)Inconsistent and independent
B)Consistent and dependent
C)Consistent and independent
D)Inconsistent and dependent

Question

Classify the system as consistent or inconsistent, and dependent or independent.
-4x - 5y = -4 
16x - 20y = -16
A)Inconsistent and independent
B)Consistent and dependent
C)Consistent and independent
D)Inconsistent and dependent

Quizplus · Accepted Answer

The second equation is a multiple of the first (multiplied by 4), which means the system has an infinite number of solutions. This makes it consistent and dependent, as the lines represented by these equations are the same (coincident).

Classify the System as Consistent or Inconsistent, and Dependent or Independent