Determine whether the system is consistent, inconsistent, or dependent.
$$\begin{array} { l }
- 3 x + 4 y = - 1 \
15 x - 20 y = 5
\end{array}$$
A) Consistent
B) Dependent
C) Inconsistent

Question

Determine whether the system is consistent, inconsistent, or dependent.
$$\begin{array} { l } 
- 3 x + 4 y = - 1 \
15 x - 20 y = 5
\end{array}$$
A) Consistent
B) Dependent
C) Inconsistent

Quizplus · Accepted Answer

The second equation is a multiple of the first equation, indicating that the two equations represent the same line. Therefore, the system is dependent, meaning it has infinitely many solutions.

Determine Whether the System Is Consistent, Inconsistent, or Dependent −3x+4y=−115x−20y=5\begin{array} { l } - 3 x + 4 y = - 1 \\15 x - 20 y = 5\end{array}−3x+4y=−115x−20y=5​

Determine Whether the System Is Consistent, Inconsistent, or Dependent $\begin{array} { l } - 3 x + 4 y = - 1 \\15 x - 20 y = 5\end{array}$