Дана система линейного уравнения Решить систему методом Гаусса, по правилу Крамера, ...

Решите задачу:

$\left\{\begin{array}{ccc}2x&&-z=1\\2x&+4y&-z=1\\x&-8y&-3z=-2\end{array}\right. \\\\\\ \left(\begin{array}{ccc}2&0&-1\, |1\\2&4&-1\, |1\\1&-8&-3\, |-2\end{array}\right) \sim \left(\begin{array}{ccc}1&-8&-3\, |-2\\0&16&5\, |\, 5\\0&20&5\, |\, 5\end{array}\right) \sim \\\\\\\left(\begin{array}{ccc}1&-8&-3\, |-2\\0&16&5\, |\, 5\\0&0&-20|-20\end{array}\right) \sim \left(\begin{array}{ccc}1&-8&-3\, |-2\\0&16&5\, |\, 5\\0&0&1\, |\, 1\end{array}\right)$

$\left\{\begin{array}{ccc}x&-8y&-3z=-2\\&16y&+5z=5\\&&z=1\end{array}\right. \; \left\{\begin{array}{ccc}x&-8y&-3z=-2\\&16y&+5=5\\&&z=1\end{array}\right. \\\\ \left\{\begin{array}{ccc}x&-8y&-3z=-2\\&y&=0\\&&z=1\end{array}\right. \; \left\{\begin{array}{ccc}x&-0&-3=-2\\&y&=0\\&&z=1\end{array}\right. \; \to \; x=1,y=0,z=1\\$