Determine if the given ordered triple is a solution of the system.
-$$\begin{array} { l }
( 0,2 , - 5 ) \
\left\{ \begin{aligned}
x - y + 3 z & = - 17 \
2 x + z & = - 5 \
x + 2 y + z & = - 1
\end{aligned} \right.
\end{array}$$
A) solution
B) not a solution

Question

Determine if the given ordered triple is a solution of the system.
-$$\begin{array} { l } 
( 0,2 , - 5 ) \
\left\{ \begin{aligned}
x - y + 3 z & = - 17 \
2 x + z & = - 5 \
x + 2 y + z & = - 1
\end{aligned} \right.
\end{array}$$
A) solution
B) not a solution

Quizplus · Accepted Answer

Substituting $x = 0$, $y = 2$, and $z = -5$ into each equation of the system:1. $0 - 2 + 3(-5) = -2 - 15 = -17$, which matches the first equation.2. $2(0) + (-5) = -5$, which matches the second equation.3. $0 + 2(2) - 5 = 4 - 5 = -1$, which matches the third equation.Since the ordered triple satisfies all three equations, it is a solution to the system.

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