Determine which one of the ordered triples below is a solution of the given system of equations.
$$\left\{ \begin{array} { l }
7 x - 9 y + 6 z = 1 \
9 x + 2 y - 3 z = 37 \
3 x - 4 y + 5 z = 7
\end{array} \right.$$
A) $( - 8 , - 1,8 )$
B) $( 4,5,3 )$
C) $( 5 , - 3 , - 4 )$
D) $( - 8 , - 1,3 )$
E) $( 3,5,4 )$

Question

Determine which one of the ordered triples below is a solution of the given system of equations.
$$\left\{ \begin{array} { l } 
7 x - 9 y + 6 z = 1 \
9 x + 2 y - 3 z = 37 \
3 x - 4 y + 5 z = 7
\end{array} \right.$$
A) $( - 8 , - 1,8 )$
B) $( 4,5,3 )$
C) $( 5 , - 3 , - 4 )$
D) $( - 8 , - 1,3 )$
E) $( 3,5,4 )$

Quizplus · Accepted Answer

Substituting $(4, 5, 3)$ into each equation satisfies all three equations, making it the solution.

Determine Which One of the Ordered Triples Below Is a Solution