Determine if the given ordered triple is a solution of the system.
-$$\begin{array} { l }
( - 4,1,5 ) \
x + y + z = 2 \
x - y + 2 z = - 4 \
5 x + y + z = 22
\end{array}$$
A) not a solution
B) solution

Question

Determine if the given ordered triple is a solution of the system.
-$$\begin{array} { l } 
( - 4,1,5 ) \
x + y + z = 2 \
x - y + 2 z = - 4 \
5 x + y + z = 22
\end{array}$$
A) not a solution
B) solution

Quizplus · Accepted Answer

We need to check if the ordered triple $(-4,1,5)$ satisfies all three equations. Plugging in the values, we get:
$$-4+1+5=2 \quad \checkmark$$
$$-4-1+2(5)=-4 \quad 	extbf{X}$$
$$5(-4)+1+5=22 \quad 	extbf{X}$$
Since the ordered triple does not satisfy all three equations, it is not a solution of the system. Thus, the answer is A) not a solution.

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