$\left[ \begin{array} { c c c | c }
1 & 0 & - 3 & 2 \
0 & 1 & 1 & 4 \
0 & 0 & 0 & 0
\end{array} \right]$
A) infinitely many solutions of the form $x = 2 - 3 z , y = 4 - z , z = z$
B) infinitely many solutions of the form $x = 2 + 3 z , y = 4 + z , z = z$
C) infinitely many solutions of the form $x = 2 + 3 z , y = 4 - z , z = z$
D) infinitely many solutions of the form $x = 2 - 3 z , y = 4 + z , z = z$

Question

$\left[ \begin{array} { c c c | c } 
1 & 0 & - 3 & 2 \
0 & 1 & 1 & 4 \
0 & 0 & 0 & 0
\end{array} \right]$
A) infinitely many solutions of the form $x = 2 - 3 z , y = 4 - z , z = z$
B) infinitely many solutions of the form $x = 2 + 3 z , y = 4 + z , z = z$
C) infinitely many solutions of the form $x = 2 + 3 z , y = 4 - z , z = z$
D) infinitely many solutions of the form $x = 2 - 3 z , y = 4 + z , z = z$

Quizplus · Accepted Answer

The Answer of $\left[ \begin{array} { c c c | c } 
1 & 0 & - 3 & 2 \
0 & 1 & 1 & 4 \
0 & 0 & 0 & 0
\end{array} \right]$
A) infinitely many solutions of the form $x = 2 - 3 z , y = 4 - z , z = z$
B) infinitely many solutions of the form $x = 2 + 3 z , y = 4 + z , z = z$
C) infinitely many solutions of the form $x = 2 + 3 z , y = 4 - z , z = z$
D) infinitely many solutions of the form $x = 2 - 3 z , y = 4 + z , z = z$

[10−3201140000]\left[ \begin{array} { c c c | c } 1 & 0 & - 3 & 2 \\0 & 1 & 1 & 4 \\0 & 0 & 0 & 0\end{array} \right]​100​010​−310​240​​

$\left[ \begin{array} { c c c | c } 1 & 0 & - 3 & 2 \\0 & 1 & 1 & 4 \\0 & 0 & 0 & 0\end{array} \right]$