Determine if the given ordered triple is a solution of the system.
-$$\left\{ \begin{array} { l }
5 , - 2,3 ) \
x + y + z = 6 \
x - y + 4 z = 19 \
5 x + y + z = 26
\end{array} \right.$$
A) solution
B) not a solution

Question

Determine if the given ordered triple is a solution of the system.
-$$\left\{ \begin{array} { l } 
5 , - 2,3 ) \
x + y + z = 6 \
x - y + 4 z = 19 \
5 x + y + z = 26
\end{array} \right.$$
A) solution
B) not a solution

Quizplus · Accepted Answer

Substituting the ordered triple (5, -2, 3) into each equation:  1. $5 + (-2) + 3 = 6$ is true.  2. $5 - (-2) + 4(3) = 19$ is true.  3. $5(5) + (-2) + 3 = 26$ is true.  All equations are satisfied, so it is a solution.

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