Solve the system.
-$$\begin{array} { l }
\frac { 2 } { x } + \frac { 1 } { y } = - \frac { 1 } { 18 } \
\frac { 7 } { x } - \frac { 1 } { y } = - \frac { 17 } { 18 }
\end{array}$$
A) $\{ ( - 9,6 ) \}$
B) $\{ ( 6 , - 9 ) \}$
C) $\{ ( 7,2 ) \}$
D) $\{ ( 9 , - 6 ) \}$

Question

Solve the system.
-$$\begin{array} { l } 
\frac { 2 } { x } + \frac { 1 } { y } = - \frac { 1 } { 18 } \
\frac { 7 } { x } - \frac { 1 } { y } = - \frac { 17 } { 18 }
\end{array}$$
A) $\{ ( - 9,6 ) \}$
B) $\{ ( 6 , - 9 ) \}$
C) $\{ ( 7,2 ) \}$
D) $\{ ( 9 , - 6 ) \}$

Quizplus · Accepted Answer

Adding the two equations eliminates the $y$ term, resulting in $\frac{9}{x} = -1$, which simplifies to $x = -9$. Substituting $x = -9$ into the first equation and solving for $y$ gives $y = 6$.

Solve the System A) {(−9,6)}\{ ( - 9,6 ) \}{(−9,6)} B) {(6,−9)}\{ ( 6 , - 9 ) \}{(6,−9)}

Solve the System A) $\{ ( - 9,6 ) \}$ B) $\{ ( 6 , - 9 ) \}$