Determine which one of the ordered triples below is a solution of the given system of equations.
$$\left\{ \begin{array} { l }
8 x + 6 y - 4 z = 74 \
x - 5 y + 8 z = - 102 \
5 x - 3 y + 2 z = - 46
\end{array} \right.$$
A) $( 4,7,0 )$
B) $( - 1,9 , - 7 )$
C) $( 9,7,1 )$
D) $( 4,7 , - 7 )$
E) $( - 7,9 , - 1 )$

Question

Determine which one of the ordered triples below is a solution of the given system of equations.
$$\left\{ \begin{array} { l } 
8 x + 6 y - 4 z = 74 \
x - 5 y + 8 z = - 102 \
5 x - 3 y + 2 z = - 46
\end{array} \right.$$
A) $( 4,7,0 )$
B) $( - 1,9 , - 7 )$
C) $( 9,7,1 )$
D) $( 4,7 , - 7 )$
E) $( - 7,9 , - 1 )$

Quizplus · Accepted Answer

Substituting $(-1, 9, -7)$ into each equation satisfies all three equations, confirming it as the solution.

Determine Which One of the Ordered Triples Below Is a Solution