Determine whether the ordered pair is a solution of the system of linear equations.
-$\begin{array} { l }
( - 3,7 ) \
\left\{ \begin{array} { l }
4 x = - 5 - y \
x + 5 y = 32
\end{array} \right.
\end{array}$

Question

Determine whether the ordered pair is a solution of the system of linear equations.
-$\begin{array} { l } 
( - 3,7 ) \
\left\{ \begin{array} { l } 
4 x = - 5 - y \
x + 5 y = 32
\end{array} \right.
\end{array}$

Quizplus · Accepted Answer

Substituting $x = -3$ and $y = 7$ into both equations: For the first equation, $4(-3) = -5 - 7$ simplifies to $-12 = -12$, which is true. For the second equation, $(-3) + 5(7) = 32$ simplifies to $-3 + 35 = 32$, which is also true. Since the ordered pair satisfies both equations, it is a solution to the system.

Determine Whether the Ordered Pair Is a Solution of the System