Identify Systems That Do Not Have Exactly One Ordered-Pair Solution
-$$\begin{array} { l }
y = 18 - 5 x \
5 x + y = 28
\end{array}$$
A) $\{ ( 12,13 ) \}$
B) $\{ ( 15,3 ) \}$
C) $\{ ( x , y ) \mid 5 x + y = 18 \}$
D) $\varnothing$ )

Question

Identify Systems That Do Not Have Exactly One Ordered-Pair Solution
-$$\begin{array} { l } 
y = 18 - 5 x \
5 x + y = 28
\end{array}$$
A) $\{ ( 12,13 ) \}$
B) $\{ ( 15,3 ) \}$
C) $\{ ( x , y ) \mid 5 x + y = 18 \}$
D) $\varnothing$ )

Quizplus · Accepted Answer

The two equations represent the same line, as the second equation can be rearranged to $y = 28 - 5x$, which is essentially the same as the first equation when considering the slope and y-intercept. Therefore, there are infinitely many solutions along this line, not just one unique solution.

Identify Systems That Do Not Have Exactly One Ordered-Pair Solution y=18−5x5x+y=28\begin{array} { l } y = 18 - 5 x \\5 x + y = 28\end{array}y=18−5x5x+y=28​

Identify Systems That Do Not Have Exactly One Ordered-Pair Solution $\begin{array} { l } y = 18 - 5 x \\5 x + y = 28\end{array}$