Determine which one of the ordered triples below is a solution of the given system of equations. $$\left\{ \begin{array} { l l }
5 x + 7 y - 7 z & = 11 \
2 x - 3 y - z & = - 18 \
3 x - 4 y + z & = - 41
\end{array} \right.$$
A) $( - 2 , - 4 , - 6 )$
B) $( - 2 , - 4 , - 7 )$
C) $( - 6,2 , - 9 )$
D) $( - 9,2 , - 6 )$
E) $( 2,6,9 )$

Question

Determine which one of the ordered triples below is a solution of the given system of equations. $$\left\{ \begin{array} { l l } 
5 x + 7 y - 7 z & = 11 \
2 x - 3 y - z & = - 18 \
3 x - 4 y + z & = - 41
\end{array} \right.$$
A)  $( - 2 , - 4 , - 6 )$
B)  $( - 2 , - 4 , - 7 )$
C)  $( - 6,2 , - 9 )$
D)  $( - 9,2 , - 6 )$
E)  $( 2,6,9 )$

Quizplus · Accepted Answer

Substituting the values of $x$, $y$, and $z$ from option D into each equation of the system confirms that all three equations are satisfied, making $(-9, 2, -6)$ the correct solution.

Determine Which One of the Ordered Triples Below Is a Solution