Solve the problem.
-$$\left\{ \begin{array} { l }
x + y = - 9 \
x - y = 19
\end{array} \right.$$
A) $\{ ( 5 , - 14 ) \}$
B) $\{ ( 5,14 ) \}$
C) $\{ ( 9,5 ) \}$
D) $\{ ( 9 , - 14 ) \}$

Question

Solve the problem.
-$$\left\{ \begin{array} { l } 
x + y = - 9 \
x - y = 19
\end{array} \right.$$
A) $\{ ( 5 , - 14 ) \}$
B) $\{ ( 5,14 ) \}$
C) $\{ ( 9,5 ) \}$
D) $\{ ( 9 , - 14 ) \}$

Quizplus · Accepted Answer

Adding the two equations $x + y + x - y = -9 + 19$ simplifies to $2x = 10$, giving $x = 5$. Substituting $x = 5$ into the first equation gives $5 + y = -9$, leading to $y = -14$. Thus, the solution is $(5, -14)$.

Solve the Problem {x+y=−9x−y=19\left\{ \begin{array} { l } x + y = - 9 \\x - y = 19\end{array} \right.{x+y=−9x−y=19​

Solve the Problem $\left\{ \begin{array} { l } x + y = - 9 \\x - y = 19\end{array} \right.$