Решить уравнение методом Крамера 2x-7y+z=-4 3x+y-z=17 x-y+3z=3

[latex]\left\{\begin{array}{ccc}2x-7y+z=-4\\3x+y-z=17\\x-y+3z=3\end{array}\right\\\\W= \left|\begin{array}{ccc}2&-7&1\\3&1&-1\\1&-1&3\end{array}\right|=6-3+7-1-2+63=70\\\\W_x=\left|\begin{array}{ccc}-4&-7&1\\17&1&-1\\3&-1&3\end{array}\right|=-12+21-17-3+4+357=350\\\\W_y=\left|\begin{array}{ccc}2&-4&1\\3&17&-1\\1&3&3\end{array}\right|=102+9+4-17+6+36=140[/latex] [latex]W_z=\left|\begin{array}{ccc}2&-7&-4\\3&1&17\\1&-1&3\end{array}\right|=6-119+12+4+34+63=0[/latex] [latex]\left\{\begin{array}{ccc}x=\frac{W_x}{W}\\y=\frac{W_y}{W}\\z=\frac{W_z}{W}\end{array}\right\Rightarrow \left\{\begin{array}{ccc}x=\frac{350}{70}\\y=\frac{140}{70}\\z=\frac{0}{70}\end{array}\right\Rightarrow \left\{\begin{array}{ccc}x=5\\y=2\\z=0\end{array}\right[/latex]