Classify the system as consistent or inconsistent, and dependent or independent.
-$$\begin{array} { l }
4 x + 4 y = 1 \
8 x + 8 y = 2
\end{array}$$
A) Inconsistent and dependent
B) Consistent and dependent
C) Inconsistent and independent
D) Consistent and independent

Question

Classify the system as consistent or inconsistent, and dependent or independent.
-$$\begin{array} { l } 
4 x + 4 y = 1 \
8 x + 8 y = 2
\end{array}$$
A) Inconsistent and dependent
B) Consistent and dependent
C) Inconsistent and independent
D) Consistent and independent

Quizplus · Accepted Answer

The system is consistent and dependent because the second equation is a multiple of the first, indicating they represent the same line, thus having infinitely many solutions.

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