Determine whether the given ordered triple is a solution of given system. $( 1 , - 5,2 ) , \left\{ \begin{array} { l }
2 x + 2 y + 3 z = - 2 \
3 x + y - z = - 4 \
x + y + 2 z = 0
\end{array} \right.$

Question

Determine whether the given ordered triple is a solution of given system. $( 1 , - 5,2 ) , \left\{ \begin{array} { l } 
2 x + 2 y + 3 z = - 2 \
3 x + y - z = - 4 \
x + y + 2 z = 0
\end{array} \right.$

Quizplus · Accepted Answer

Substitute the values in the system of equations:
\begin{align*}
2(1) + 2(-5) + 3(2) &= -2 \
3(1) + (-5) - 2 &= -4 \
1 + (-5) + 2(2) &= 0
\end{align*}
Simplifying each equation, we get:
\begin{align*}
-2 &= -2 \
-4 &= -4 \
-2 &= -2
\end{align*}
Since each equation is true, the ordered triple is a solution to the system. Therefore, the answer is A.

Determine Whether the Given Ordered Triple Is a Solution of Given