If the system has infinitely many solutions, write the solution set with x arbitrary.
-$$\begin{array} { l }
\frac { 9 } { x } + \frac { 1 } { y } = \frac { 29 } { 28 } \
\frac { - 6 } { x } - \frac { 1 } { y } = - \frac { 17 } { 28 }
\end{array}$$
A) $\{ ( - 42 , - 4 ) \}$

B) $\{ ( - 4,7 ) \}$

C) $\{ ( 7 , - 4 ) \}$

D) $\{ ( - 7,4 ) \}$

Question

If the system has infinitely many solutions, write the solution set with x arbitrary.
-$$\begin{array} { l } 
\frac { 9 } { x } + \frac { 1 } { y } = \frac { 29 } { 28 } \
\frac { - 6 } { x } - \frac { 1 } { y } = - \frac { 17 } { 28 }
\end{array}$$
A) $\{ ( - 42 , - 4 ) \}$

B) $\{ ( - 4,7 ) \}$

C) $\{ ( 7 , - 4 ) \}$

D) $\{ ( - 7,4 ) \}$

Quizplus · Accepted Answer

Adding the two equations eliminates $y$, leading to a single equation in $x$, which can be solved to find $x = 7$. Substituting $x = 7$ into either equation allows solving for $y = -4$. This system does not have infinitely many solutions; it has a unique solution.

If the System Has Infinitely Many Solutions, Write the Solution