Give the coordinates of the point of intersection of the linear equations.
-$$\begin{array} { l }
x + y = - 11 \
x - y = - 1
\end{array}$$
A) $( - 5 , - 5 )$
B) $( - 6 , - 5 )$
C) $( - 6 , - 6 )$
D) $( - 5 , - 6 )$

Question

Give the coordinates of the point of intersection of the linear equations.
-$$\begin{array} { l } 
x + y = - 11 \
x - y = - 1
\end{array}$$
A) $( - 5 , - 5 )$
B) $( - 6 , - 5 )$
C) $( - 6 , - 6 )$
D) $( - 5 , - 6 )$

Quizplus · Accepted Answer

To find the point of intersection, we can add the two equations to eliminate $y$: $x + y + x - y = -11 - 1$, which simplifies to $2x = -12$, so $x = -6$. Substituting $x = -6$ into the first equation, $x + y = -11$, gives $-6 + y = -11$, so $y = -5$. Therefore, the point of intersection is $(-6, -5)$.

Give the Coordinates of the Point of Intersection of the Linear