1003060502
Level:
B
The system of equations is given by:
\[ \begin{aligned}
x+y-2z&=0, \\
x+2y+3z&=0, \\
-2x+y+z&=2.
\end{aligned} \]
To which of the following systems is it equivalent? (Note: An algorithm for solving a system of linear equations by transformation the system into this form (row echelon form) is known as Gaussian elimination or as row reduction.)
\( \begin{aligned}
x+y-2z&=0 \\
y+5z&=0 \\
18z&=-2
\end{aligned} \)
\( \begin{aligned}
x+y-2z&=0 \\
y-5z&=0 \\
12z&=2
\end{aligned} \)
\( \begin{aligned}
x+y-2z&=0 \\
y+5z&=0 \\
18z&=2
\end{aligned} \)
\( \begin{aligned}
x+y-2z&=0 \\
y+z&=0 \\
6z&=2
\end{aligned} \)
