Determine whether the system is consistent or inconsistent and whether the equations are dependent or independent.
-$$\begin{array} { l }
6 = 3 x + 3 y \
6 y + 6 x = 11
\end{array}$$
A) Consistent; independent
B) Inconsistent; dependent
C) Consistent; dependent
D) Inconsistent; independent

Question

Determine whether the system is consistent or inconsistent and whether the equations are dependent or independent.
-$$\begin{array} { l } 
6 = 3 x + 3 y \
6 y + 6 x = 11
\end{array}$$
A) Consistent; independent
B) Inconsistent; dependent
C) Consistent; dependent
D) Inconsistent; independent

Quizplus · Accepted Answer

The system is inconsistent because the two equations represent parallel lines (same slope but different y-intercepts), meaning they do not intersect. Therefore, there is no solution, and the equations are independent.

Determine Whether the System Is Consistent or Inconsistent and Whether 6=3x+3y6y+6x=11\begin{array} { l } 6 = 3 x + 3 y \\6 y + 6 x = 11\end{array}6=3x+3y6y+6x=11​

Determine Whether the System Is Consistent or Inconsistent and Whether $\begin{array} { l } 6 = 3 x + 3 y \\6 y + 6 x = 11\end{array}$