Identify Systems That Do Not Have Exactly One Ordered-Pair Solution
-$$\begin{array} { l }
9 x - 2 y = 7 \
- 27 x + 6 y = - 14
\end{array}$$
A) $\{ ( 3,2 ) \}$
B) $\left\{ \left( \frac { 18 } { 7 } , - \frac { 4 } { 7 } \right) \right\}$
C) $\{ ( x , y ) \mid 9 x - 2 y = 7 \}$
D) $\varnothing$

Question

Identify Systems That Do Not Have Exactly One Ordered-Pair Solution
-$$\begin{array} { l } 
9 x - 2 y = 7 \
- 27 x + 6 y = - 14
\end{array}$$
A) $\{ ( 3,2 ) \}$
B) $\left\{ \left( \frac { 18 } { 7 } , - \frac { 4 } { 7 } \right) \right\}$
C) $\{ ( x , y ) \mid 9 x - 2 y = 7 \}$
D) $\varnothing$

Quizplus · Accepted Answer

The given system of equations is dependent, meaning it has infinitely many solutions, not exactly one.

Identify Systems That Do Not Have Exactly One Ordered-Pair Solution 9x−2y=7−27x+6y=−14\begin{array} { l } 9 x - 2 y = 7 \\- 27 x + 6 y = - 14\end{array}9x−2y=7−27x+6y=−14​

Identify Systems That Do Not Have Exactly One Ordered-Pair Solution $\begin{array} { l } 9 x - 2 y = 7 \\- 27 x + 6 y = - 14\end{array}$