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

Question

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

Quizplus · Accepted Answer

Substituting $x = 3$, $y = -2$, and $z = 0$ into both equations, the first equation becomes $2(3) - (-2) + 5(0) = 6 + 2 = 8$, which does not equal 17. The second equation becomes $3 + 5(-2) + 0 = 3 - 10 = -7$, which does not equal 3. Therefore, the ordered triple is not a solution to the system.

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