Determine which one of the ordered triples below is a solution of the given system of equations. $\left\{ \begin{array} { l }
6 x + 3 y + 3 z = - 81 \
6 x - y - z = - 21 \
5 x - 5 y + 5 z = - 25
\end{array} \right.$
A)(9, 6, -51)
B)(-6, -8, -7)
C)(-8, 7, 6)
D)(9, 6, -7)
E)(-7, -8, -6)

Question

Determine which one of the ordered triples below is a solution of the given system of equations. $\left\{ \begin{array} { l } 
6 x + 3 y + 3 z = - 81 \
6 x - y - z = - 21 \
5 x - 5 y + 5 z = - 25
\end{array} \right.$
A)(9, 6, -51)
B)(-6, -8, -7)
C)(-8, 7, 6)
D)(9, 6, -7)
E)(-7, -8, -6)

Quizplus · Accepted Answer

To determine which ordered triple is a solution, substitute the values of $x$, $y$, and $z$ from each option into the given system of equations and check for consistency. Option B, $(-6, -8, -7)$, satisfies all three equations when substituted, making it the correct choice.

Determine Which One of the Ordered Triples Below Is a Solution