Determine if the given ordered triple is a solution of the system.
-$$\left\{ \begin{array} { l }
( 2 , - 3,5 ) \
x - y + z = - 6 \
x + y + z = 4 \
x + y - z = 0
\end{array} \right.$$
A) not a solution
B) solution

Question

Determine if the given ordered triple is a solution of the system.
-$$\left\{ \begin{array} { l } 
( 2 , - 3,5 ) \
x - y + z = - 6 \
x + y + z = 4 \
x + y - z = 0
\end{array} \right.$$
A) not a solution
B) solution

Quizplus · Accepted Answer

Substituting (2, -3, 5) into the equations:  1) 2 - (-3) + 5 = 10 ≠ -6  2) 2 + (-3) + 5 = 4  3) 2 + (-3) - 5 = -6 ≠ 0  The ordered triple does not satisfy all equations.

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