Identify Systems That Do Not Have Exactly One Ordered-Pair Solution
-$$\begin{array} { l }
8 x - 3 y = 3 \
- 16 x + 6 y = - 9
\end{array}$$
A) $\left\{ \left( \frac { 4 } { 3 } , - \frac { 1 } { 2 } \right) \right\}$
B) $\{ ( 2,3 ) \}$
C) $\{ ( x , y ) \mid 8 x - 3 y = 3 \}$
D) $\varnothing$

Question

Identify Systems That Do Not Have Exactly One Ordered-Pair Solution
-$$\begin{array} { l } 
8 x - 3 y = 3 \
- 16 x + 6 y = - 9
\end{array}$$
A) $\left\{ \left( \frac { 4 } { 3 } , - \frac { 1 } { 2 } \right) \right\}$
B) $\{ ( 2,3 ) \}$
C) $\{ ( x , y ) \mid 8 x - 3 y = 3 \}$
D) $\varnothing$

Quizplus · Accepted Answer

The second equation is a multiple of the first, indicating the system has infinitely many solutions or no solution. Since they are consistent and dependent, the system has infinitely many solutions, not exactly one.

Identify Systems That Do Not Have Exactly One Ordered-Pair Solution 8x−3y=3−16x+6y=−9\begin{array} { l } 8 x - 3 y = 3 \\- 16 x + 6 y = - 9\end{array}8x−3y=3−16x+6y=−9​

Identify Systems That Do Not Have Exactly One Ordered-Pair Solution $\begin{array} { l } 8 x - 3 y = 3 \\- 16 x + 6 y = - 9\end{array}$