Solve the system.
-$\left\{ \begin{array} { c }
x - y + 2 z = 5 \
5 x + z = 0 \
- x + y - 2 z = - 10
\end{array} \right.$
A) $( 2 , - 5,0 )$
B) $( 0 , - 5,0 )$
C) $( 0,0 , - 5 )$
D) $\varnothing$

Question

Solve the system.
-$\left\{ \begin{array} { c } 
x - y + 2 z = 5 \
5 x + z = 0 \
- x + y - 2 z = - 10
\end{array} \right.$
A) $( 2 , - 5,0 )$
B) $( 0 , - 5,0 )$
C) $( 0,0 , - 5 )$
D) $\varnothing$

Quizplus · Accepted Answer

The system is inconsistent. Adding the first and third equations gives $0 = -5$, which is a contradiction, indicating no solution exists.

Solve the System {x−y+2z=55x+z=0−x+y−2z=−10\left\{ \begin{array} { c } x - y + 2 z = 5 \\5 x + z = 0 \\- x + y - 2 z = - 10\end{array} \right.⎩⎨⎧​x−y+2z=55x+z=0−x+y−2z=−10​

Solve the System $\left\{ \begin{array} { c } x - y + 2 z = 5 \\5 x + z = 0 \\- x + y - 2 z = - 10\end{array} \right.$