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

Question

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

Quizplus · Accepted Answer

Substituting $x = -1$, $y = 5$, and $z = 1$ into each equation: For the first equation, $(-1) + 5 + 1 = 5$, which is true. For the second equation, $(-1) - 5 + 2(1) = -4$, which is also true. For the third equation, $4(-1) + 5 + 1 = 2$, which is true as well. Since the ordered triple satisfies all three equations, it is a solution to the system.

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