Determine if the given ordered triple is a solution of the system.
-$$\begin{array} { l }
( - 3,1,3 ) \
x + y + z = 1 \
x - y + 2 z = - 4 \
4 x + y + z = 10
\end{array}$$
A)solution
B)not a solution

Question

Determine if the given ordered triple is a solution of the system.
-$$\begin{array} { l } 
( - 3,1,3 ) \
x + y + z = 1 \
x - y + 2 z = - 4 \
4 x + y + z = 10
\end{array}$$
A)solution
B)not a solution

Quizplus · Accepted Answer

Substituting $(-3, 1, 3)$ into the equations:  1. $-3 + 1 + 3 = 1$ is true.  2. $-3 - 1 + 2(3) = -4$ is false.  3. $4(-3) + 1 + 3 = 10$ is false.  Since not all equations are satisfied, it is not a solution.

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