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

Question

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

Quizplus · Accepted Answer

The system is consistent because there is at least one solution, and it is independent because the equations represent two distinct lines that intersect at exactly one point.

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