Solve the system using Gauss-Jordan elimination. $$\left\{ \begin{array} { l }
w + x = 9 \
w + y = 0 \
x + z = 0
\end{array} \right.$$
A) $w = - 9 + z , x = - z , y = - 9 - z , z$
B) $w = 9 + z , x = - z , y = - 9 - z , z$
C) $w = 9 + z , x = - z , y = 9 - z , z$
D) $w = 9 + z , x = - z , y = 9 + z , z$
E) $w = 9 - z , x = - z , y = - 9 - z , z$

Question

Solve the system using Gauss-Jordan elimination.   $$\left\{ \begin{array} { l } 
w + x = 9 \
w + y = 0 \
x + z = 0
\end{array} \right.$$
A) $w = - 9 + z , x = - z , y = - 9 - z , z$
B) $w = 9 + z , x = - z , y = - 9 - z , z$
C) $w = 9 + z , x = - z , y = 9 - z , z$  
D) $w = 9 + z , x = - z , y = 9 + z , z$  
E) $w = 9 - z , x = - z , y = - 9 - z , z$

Quizplus · Accepted Answer

The system can be solved by expressing the variables in terms of $z$. From the equations, $w = 9 - x$, $w = -y$, and $x = -z$. Substituting $x = -z$ into $w = 9 - x$ gives $w = 9 + z$. Substituting $w = -y$ gives $y = -9 - z$.

Solve the System Using Gauss-Jordan Elimination {w+x=9w+y=0x+z=0\left\{ \begin{array} { l } w + x = 9 \\w + y = 0 \\x + z = 0\end{array} \right.⎩⎨⎧​w+x=9w+y=0x+z=0​

Solve the System Using Gauss-Jordan Elimination $\left\{ \begin{array} { l } w + x = 9 \\w + y = 0 \\x + z = 0\end{array} \right.$