Which of the following ordered triples is a solution of the system $\left\{ \begin{array} { l }
3 x - 3 y + z = - 2 \
x - 5 y + 4 z = 7 \
3 x - 6 y - z = - 1
\end{array} \right.$
A) (- 2, -1,-1)
B) (-2, 1, 13)
C) (- 2,-29,-1)
D) (- 2,-1, 1)

Question

Which of the following ordered triples is a solution of the system $\left\{ \begin{array} { l } 
3 x - 3 y + z = - 2 \
x - 5 y + 4 z = 7 \
3 x - 6 y - z = - 1
\end{array} \right.$
A) (- 2, -1,-1)
B) (-2, 1, 13)
C) (- 2,-29,-1)
D) (- 2,-1, 1)

Quizplus · Accepted Answer

Substitute the values of the ordered triple into the equations of the system:
\begin{align*}
3x-3y+z&=3(-2)-3(-1)+(-1)= -2 \
x-5y+4z&=-2-5(-1)+4=-3+4=1\
3x-6y-z&=3(-2)-6(-1)-1=-6+6-1=-1
\end{align*}
Therefore, (-2, -1, 1) is a solution of the system.

Which of the Following Ordered Triples Is a Solution of the System