Solve the system.
-$$\left\{ \begin{array} { r }
x - y + 3 z = - 2 \
3 x + z = 0 \
- x + y - 3 z = 10
\end{array} \right.$$
A) $( 3,2,0 )$
B) $( 0,0,2 )$
C) $( 0,2,0 )$
D) $\varnothing$

Question

Solve the system.
-$$\left\{ \begin{array} { r } 
x - y + 3 z = - 2 \
3 x + z = 0 \
- x + y - 3 z = 10
\end{array} \right.$$
A) $( 3,2,0 )$
B) $( 0,0,2 )$
C) $( 0,2,0 )$
D) $\varnothing$

Quizplus · Accepted Answer

The system of equations is inconsistent. Adding the first and third equations cancels out all the variables and results in $0 = 8$, which is a contradiction. This means there is no solution to the system.

Solve the System {x−y+3z=−23x+z=0−x+y−3z=10\left\{ \begin{array} { r } x - y + 3 z = - 2 \\3 x + z = 0 \\- x + y - 3 z = 10\end{array} \right.⎩⎨⎧​x−y+3z=−23x+z=0−x+y−3z=10​

Solve the System $\left\{ \begin{array} { r } x - y + 3 z = - 2 \\3 x + z = 0 \\- x + y - 3 z = 10\end{array} \right.$