Determine if the given ordered triple is a solution of the system.
-$$\begin{array} { l }
( 3,5,1 ) \
x - y + z = - 1 \
x + y + z = 9 \
x + y - z = 7
\end{array}$$
A) solution
B) not a solution

Question

Determine if the given ordered triple is a solution of the system.
-$$\begin{array} { l } 
( 3,5,1 ) \
x - y + z = - 1 \
x + y + z = 9 \
x + y - z = 7
\end{array}$$
A) solution
B) not a solution

Quizplus · Accepted Answer

To determine if the ordered triple (3,5,1) is a solution, substitute x=3, y=5, and z=1 into each equation. For the first equation, 3 - 5 + 1 = -1, which is true. For the second equation, 3 + 5 + 1 = 9, which is also true. For the third equation, 3 + 5 - 1 = 7, 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