Determine if the given ordered triple is a solution of the system.
-$$\begin{array} { c }
( 3 , - 1 , - 2 ) \
x + 2 y + 2 z = - 3 \
5 y + 3 z = - 11 \
z = - 2
\end{array}$$
A) solution
B) not a solution

Question

Determine if the given ordered triple is a solution of the system.
-$$\begin{array} { c } 
( 3 , - 1 , - 2 ) \
x + 2 y + 2 z = - 3 \
5 y + 3 z = - 11 \
z = - 2
\end{array}$$
A) solution
B) not a solution

Quizplus · Accepted Answer

Substitute z=-2 in the second equation:
5y+3(-2)=-11
5y-6=-11
5y=-5
y=-1
Substitute z=-2 and y=-1 in the first equation:
x+2(-1)+2(-2)=-3
x-6=-3
x=3
Therefore, (3,-1,-2) is a solution to the system.

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