Determine if the given ordered triple is a solution of the system.
-$$\begin{array} { c }
( 1 , - 1,0 ) \
x - y + 4 z = 5 \
4 x + z = 1 \
x + 2 y + z = - 1
\end{array}$$
A) solution
B) not a solution

Question

Determine if the given ordered triple is a solution of the system.
-$$\begin{array} { c } 
( 1 , - 1,0 ) \
x - y + 4 z = 5 \
4 x + z = 1 \
x + 2 y + z = - 1
\end{array}$$
A) solution
B) not a solution

Quizplus · Accepted Answer

Substituting $x = 1$, $y = -1$, and $z = 0$ into each equation: For the first equation, $1 - (-1) + 4(0) = 2$, not 5. For the second equation, $4(1) + 0 = 4$, not 1. For the third equation, $1 + 2(-1) + 0 = -1$, which matches, but since the other equations do not match, the ordered triple is not a solution to the system.

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