Determine if the given ordered triple is a solution of the system.
-$$\begin{array} { c }
( 2,5 , - 3 ) \
x + y + z = 4 \
x - y + 3 z = - 2 \
2 x + y + z = 1
\end{array}$$
A) not a solution
B) solution

Question

Determine if the given ordered triple is a solution of the system.
-$$\begin{array} { c } 
( 2,5 , - 3 ) \
x + y + z = 4 \
x - y + 3 z = - 2 \
2 x + y + z = 1
\end{array}$$
A) not a solution
B) solution

Quizplus · Accepted Answer

Substituting $x = 2$, $y = 5$, and $z = -3$ into each equation: For the first equation, $2 + 5 - 3 = 4$ is true. For the second equation, $2 - 5 + 3(-3) = 2 - 5 - 9 = -12 \neq -2$, which is false. Since one equation does not hold, the ordered triple is not a solution to the system.

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