Determine if the given ordered triple is a solution of the system.
-$$\left\{ \begin{array} { l }
( - 2,5 , - 3 ) \
x - y + z = 6 \
x + y + z = 0 \
x + y - z = 4
\end{array} \right.$$
A) solution
B) not a solution

Question

Determine if the given ordered triple is a solution of the system.
-$$\left\{ \begin{array} { l } 
( - 2,5 , - 3 ) \
x - y + z = 6 \
x + y + z = 0 \
x + y - z = 4
\end{array} \right.$$
A) solution
B) not a solution

Quizplus · Accepted Answer

To determine if the ordered triple $(-2,5,-3)$ is a solution, we substitute $x = -2$, $y = 5$, and $z = -3$ into each equation and check if they hold true. For the first equation, $-2 - 5 - 3 = -10 \neq 6$. Since the first equation does not hold true, the ordered triple is not a solution to the system.

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