Solve the system of equations by finding the reduced row echelon form for the augmented matrix.
-$$\begin{array} { r }
x + 4 y + 5 z = - 27 \
4 y + 4 z = - 24 \
z = - 4
\end{array}$$
A) $( 1 , - 2 , - 4 )$
B) $( 1 , - 4 , - 2 )$
C) No solution
D) $( - 4 , - 2,1 )$

Question

Solve the system of equations by finding the reduced row echelon form for the augmented matrix.
-$$\begin{array} { r } 
x + 4 y + 5 z = - 27 \
4 y + 4 z = - 24 \
z = - 4
\end{array}$$
A) $( 1 , - 2 , - 4 )$
B) $( 1 , - 4 , - 2 )$
C) No solution
D) $( - 4 , - 2,1 )$

Quizplus · Accepted Answer

Given $z = -4$, substitute $z$ into the second equation to find $y$, and then use both $y$ and $z$ to find $x$ from the first equation. The solution is $(1, -2, -4)$.

Solve the System of Equations by Finding the Reduced Row x+4y+5z=−274y+4z=−24z=−4\begin{array} { r } x + 4 y + 5 z = - 27 \\4 y + 4 z = - 24 \\z = - 4\end{array}x+4y+5z=−274y+4z=−24z=−4​

Solve the System of Equations by Finding the Reduced Row $\begin{array} { r } x + 4 y + 5 z = - 27 \\4 y + 4 z = - 24 \\z = - 4\end{array}$