Solve the system of equations by finding the reduced row echelon form for the augmented matrix.
-$$\begin{array} { c }
x - y + 3 z = - 3 \
3 x + z = 0 \
x + 5 y + z = 15
\end{array}$$
A) $( 0,0,3 )$
B) $( 0,3 , - 3 )$
C) No solution
D) $( 0,3,0 )$

Question

Solve the system of equations by finding the reduced row echelon form for the augmented matrix.
-$$\begin{array} { c } 
x - y + 3 z = - 3 \
3 x + z = 0 \
x + 5 y + z = 15
\end{array}$$
A) $( 0,0,3 )$
B) $( 0,3 , - 3 )$
C) No solution
D) $( 0,3,0 )$

Quizplus · Accepted Answer

The reduced row echelon form of the augmented matrix for the given system of equations leads to the solution $x = 0$, $y = 3$, and $z = 0$.

Solve the System of Equations by Finding the Reduced Row x−y+3z=−33x+z=0x+5y+z=15\begin{array} { c } x - y + 3 z = - 3 \\3 x + z = 0 \\x + 5 y + z = 15\end{array}x−y+3z=−33x+z=0x+5y+z=15​

Solve the System of Equations by Finding the Reduced Row $\begin{array} { c } x - y + 3 z = - 3 \\3 x + z = 0 \\x + 5 y + z = 15\end{array}$