Solve the system of equations.
-$$\left\{ \begin{array} { l }
x - y + 3 z = - 4 \
3 x + z = 0 \
- x + y - 3 z = 16
\end{array} \right.$$
A) $x = 4 , y = 2 , z = 0$
B) inconsistent (no solution)
C) $x = 0 , y = 0 , z = 2$
D) $x = 0 , y = 2 , z = 0$

Question

Solve the system of equations.
-$$\left\{ \begin{array} { l } 
x - y + 3 z = - 4 \
3 x + z = 0 \
- x + y - 3 z = 16
\end{array} \right.$$
A) $x = 4 , y = 2 , z = 0$
B) inconsistent (no solution)
C) $x = 0 , y = 0 , z = 2$
D) $x = 0 , y = 2 , z = 0$

Quizplus · Accepted Answer

The system of equations is inconsistent because the third equation is a multiple of the first equation with a different constant term, leading to a contradiction.

Solve the System of Equations {x−y+3z=−43x+z=0−x+y−3z=16\left\{ \begin{array} { l } x - y + 3 z = - 4 \\3 x + z = 0 \\- x + y - 3 z = 16\end{array} \right.⎩⎨⎧​x−y+3z=−43x+z=0−x+y−3z=16​

Solve the System of Equations $\left\{ \begin{array} { l } x - y + 3 z = - 4 \\3 x + z = 0 \\- x + y - 3 z = 16\end{array} \right.$