Determine if the given ordered triple is a solution of the system.
-$$\left\{ \begin{array} { l }
( 1 , - 2,4 ) \
3 x + 5 y + z = - 3 \
2 x - 3 y - z = 4 \
2 x + y + 5 z = 20
\end{array} \right.$$
A) $\text { solution }$
B) not a solution

Question

Determine if the given ordered triple is a solution of the system.
-$$\left\{ \begin{array} { l } 
( 1 , - 2,4 ) \
3 x + 5 y + z = - 3 \
2 x - 3 y - z = 4 \
2 x + y + 5 z = 20
\end{array} \right.$$
A) $\text {  solution }$
B) not a solution

Quizplus · Accepted Answer

Substituting $x = 1$, $y = -2$, and $z = 4$ into each equation of the system, we find that all three equations are satisfied. Therefore, the ordered triple $(1, -2, 4)$ is a solution to the system.

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