Determine whether the ordered pair is a solution of the system.
-$$\begin{array} { l }
( - 1 , - 6 ) \
\left\{ \begin{array} { l }
2 x + y = - 8 \
3 x + 2 y = - 15
\end{array} \right.
\end{array}$$
A) Yes
B) No

Question

Determine whether the ordered pair is a solution of the system.
-$$\begin{array} { l } 
( - 1 , - 6 ) \
\left\{ \begin{array} { l } 
2 x + y = - 8 \
3 x + 2 y = - 15
\end{array} \right.
\end{array}$$
A) Yes
B) No

Quizplus · Accepted Answer

To determine if the ordered pair $(-1, -6)$ is a solution to the system of equations, substitute $x = -1$ and $y = -6$ into each equation and check if the equations hold true. For the first equation, $2(-1) + (-6) = -2 - 6 = -8$, which matches the right side of the equation. For the second equation, $3(-1) + 2(-6) = -3 - 12 = -15$, which also matches the right side of the equation. Since both equations are satisfied by the ordered pair $(-1, -6)$, it is indeed a solution to the system.

Determine Whether the Ordered Pair Is a Solution of the System