Classify the system as consistent or inconsistent, and dependent or independent.
-x + 6y = 17 2x + 12y = 34
A) Inconsistent and dependent
B) Consistent and dependent
C) Inconsistent and independent
D) Consistent and independent

Question

Quizplus · Accepted Answer

The second equation is simply the first equation multiplied by 2, which means the system has an infinite number of solutions (the lines represented by the equations are the same). This makes the system consistent (it has at least one solution) and dependent (the equations represent the same line).

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