Determine if the given ordered triple is a solution of the system.
-$$\begin{array} { l }
( 5,4 , - 3 ) \
x - y + z = 12 \
x + y + z = 6 \
x + y - z = - 4
\end{array}$$
A) not a solution
B) solution

Question

Determine if the given ordered triple is a solution of the system.
-$$\begin{array} { l } 
( 5,4 , - 3 ) \
x - y + z = 12 \
x + y + z = 6 \
x + y - z = - 4
\end{array}$$
A) not a solution
B) solution

Quizplus · Accepted Answer

Substituting the ordered triple (5, 4, -3) into the system of equations, we get:
\begin{align*}
5-4+(-3) &= -2 
eq 12 \
5+4+(-3) &= 6 \
5+4-(-3) &= 12 
eq -4
\end{align*}
Since the first equation is not satisfied, (5,4,-3) is not a solution of the system. Therefore, the answer is A.

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