Find the solution or solutions, if any exist, to the system.
-$$\left\{ \begin{array} { c }
x + y + z = 11 \
x - y + 5 z = 23 \
5 x + y + z = 31
\end{array} \right.$$
A) $x = 4 , y = 5 , z = 2$
B) $x = 5 , y = 2 , z = 4$
C) inconsistent system, no solution
D) $x = 4 , y = 2 , z = 5$

Question

Find the solution or solutions, if any exist, to the system.
-$$\left\{ \begin{array} { c } 
x + y + z = 11 \
x - y + 5 z = 23 \
5 x + y + z = 31
\end{array} \right.$$
A) $x = 4 , y = 5 , z = 2$
B) $x = 5 , y = 2 , z = 4$
C) inconsistent system, no solution
D) $x = 4 , y = 2 , z = 5$

Quizplus · Accepted Answer

Substituting $x = 5$, $y = 2$, $z = 4$ into the equations satisfies all three equations, confirming it as the solution.

Find the Solution or Solutions, If Any Exist, to the System