Determine if the given ordered triple is a solution of the system.
-$$\begin{array} { l }
( - 3,3,0 ) \
\left\{ \begin{array} { c }
x - y + 3 z = - 12 \
4 x + z = - 3 \
x + 4 y + z = 9
\end{array} \right.
\end{array}$$
A) not a solution
B) solution

Question

Determine if the given ordered triple is a solution of the system.
-$$\begin{array} { l } 
( - 3,3,0 ) \
\left\{ \begin{array} { c } 
x - y + 3 z = - 12 \
4 x + z = - 3 \
x + 4 y + z = 9
\end{array} \right.
\end{array}$$
A) not a solution
B) solution

Quizplus · Accepted Answer

Substituting $x = -3$, $y = 3$, and $z = 0$ into each equation:1. $x - y + 3z = -3 - 3 + 3(0) = -6 \neq -12$2. $4x + z = 4(-3) + 0 = -12 \neq -3$3. $x + 4y + z = -3 + 4(3) + 0 = 9$The ordered triple does not satisfy all the equations in the system, so it is not a solution.

Determine If the Given Ordered Triple Is a Solution of the System