Solve the system of equations by finding the reduced row echelon form for the augmented matrix.
-$$\begin{aligned}
x - y + 3 z & = - 18 \
5 x + z & = - 5 \
x + 5 y + z & = 10
\end{aligned}$$
A) $( 0,3 , - 5 )$
B) $( - 5,0,3 )$
C) $( - 5,3,0 )$
D) No solution

Question

Quizplus · Accepted Answer

The reduced row echelon form of the augmented matrix for the given system of equations results in the solution $(0, 3, -5)$.

Solve the System of Equations by Finding the Reduced Row x−y+3z=−185x+z=−5x+5y+z=10\begin{aligned}x - y + 3 z & = - 18 \\5 x + z & = - 5 \\x + 5 y + z & = 10\end{aligned}x−y+3z5x+zx+5y+z​=−18=−5=10​

Solve the System of Equations by Finding the Reduced Row $\begin{aligned}x - y + 3 z & = - 18 \\5 x + z & = - 5 \\x + 5 y + z & = 10\end{aligned}$