Determine if the given ordered triple is a solution of the system.
-$$\begin{array} { c }
( 0,1 , - 3 ) \
x - y + 5 z = - 16 \
5 x \quad + z = - 3 \
x + 5 y + z = 2
\end{array}$$
A) solution
B) not a solution

Question

Determine if the given ordered triple is a solution of the system.
-$$\begin{array} { c } 
( 0,1 , - 3 ) \
x - y + 5 z = - 16 \
5 x \quad + z = - 3 \
x + 5 y + z = 2
\end{array}$$
A) solution
B) not a solution

Quizplus · Accepted Answer

To determine if the ordered triple (0, 1, -3) is a solution, we substitute x = 0, y = 1, and z = -3 into each equation of the system and check if the equations hold true. For the first equation, 0 - 1 + 5(-3) = -1 - 15 = -16, which is true. For the second equation, 5(0) + (-3) = -3, which is true. For the third equation, 0 + 5(1) + (-3) = 5 - 3 = 2, which is also true. Since all three equations hold true with the given ordered triple, it is indeed a solution to the system.

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