Question: Using Gauss elimination, solve the following linear algebraic equations: [ begin{aligned} -25 x_{1}+10 x_{2}+10 x_{3}+10 x_{4} & =0 5 x_{1}-10 x_{2}+10 x_{3} & =2

Using Gauss elimination, solve the following linear algebraic equations:

\[
\begin{aligned}
-25 x_{1}+10 x_{2}+10 x_{3}+10 x_{4} & =0 \\
5 x_{1}-10 x_{2}+10 x_{3} & =2 \\
10 x_{1}+5 x_{2}-10 x_{3}+10 x_{4} & =1 \\
10 x_{1}-20 x_{4} & =-2
\end{aligned}
\]

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