Classify the system as consistent or inconsistent, and dependent or independent.
-$\begin{array} { c }
x + 5 y = 19 \
5 x - 6 y = 2
\end{array}$
A) Inconsistent and independent
B) Consistent and independent
C) Consistent and dependent
D) Inconsistent and dependent

Question

Classify the system as consistent or inconsistent, and dependent or independent.
-$\begin{array} { c } 
x + 5 y = 19 \
5 x - 6 y = 2
\end{array}$
A) Inconsistent and independent
B) Consistent and independent
C) Consistent and dependent
D) Inconsistent and dependent

Quizplus · Accepted Answer

The system is consistent because there exists at least one solution to the set of equations. It is independent because the equations represent two distinct lines that intersect at exactly one point, indicating a unique solution.

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