Solve the system by using any method. If a system does not have one unique solution, state whether the
system is inconsistent or whether the equations are dependent.
-$$\begin{array} { l }
5 x + y = - 5 \
- 15 x - 3 y = 9
\end{array}$$
A) { } ; The system is inconsistent.
B) $\{ ( 1 , - 10 ) \}$
C) $\{ ( x , y ) \mid 5 x + y = - 5 \}$; The equations are dependent.
D) $\{ ( 0 , - 5 ) \}$

Question

Solve the system by using any method. If a system does not have one unique solution, state whether the
system is inconsistent or whether the equations are dependent.
-$$\begin{array} { l } 
5 x + y = - 5 \
- 15 x - 3 y = 9
\end{array}$$
A) { } ; The system is inconsistent.
B) $\{ ( 1 , - 10 ) \}$
C) $\{ ( x , y ) \mid 5 x + y = - 5 \}$; The equations are dependent.
D) $\{ ( 0 , - 5 ) \}$

Quizplus · Accepted Answer

The second equation is a multiple of the first (multiplied by -3), but the constants do not align after the multiplication (-5 * -3 ≠ 9), indicating the system is inconsistent.

Solve the System by Using Any Method 5x+y=−5−15x−3y=9\begin{array} { l } 5 x + y = - 5 \\- 15 x - 3 y = 9\end{array}5x+y=−5−15x−3y=9​

Solve the System by Using Any Method $\begin{array} { l } 5 x + y = - 5 \\- 15 x - 3 y = 9\end{array}$