Determine if the given ordered triple is a solution of the system.
-$$\begin{array} { r }
( - 4,2,3 ) \
x + 4 y + 5 z = - 9 \
4 y + 2 z = 0 \
z = - 4
\end{array}$$
A) not a solution
B) solution

Question

Determine if the given ordered triple is a solution of the system.
-$$\begin{array} { r } 
( - 4,2,3 ) \
x + 4 y + 5 z = - 9 \
4 y + 2 z = 0 \
z = - 4
\end{array}$$
A) not a solution
B) solution

Quizplus · Accepted Answer

The given ordered triple is (-4, 2, 3). Substituting these values into the equations:1. $x + 4y + 5z = -4 + 4(2) + 5(3) = -4 + 8 + 15 = 19 \neq -9$2. $4y + 2z = 4(2) + 2(3) = 8 + 6 = 14 \neq 0$3. $z = 3 \neq -4$Since the values do not satisfy all the equations, the ordered triple is not a solution.

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