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Solve the simultaneous system of equations by Gauss Jordon Method 5x_1+x_2+x...

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Solve the simultaneous system of equations by Gauss Jordon Method

 5x_1+x_2+x_3+x_4=4 ; x_1+7x_2+x_3+x_4=12 ; x_1+x_2+6x_3+x_4=-5 ~and ~x_1+x_2+x_3+4x_4=-6 ; 5x_1+x_2+x_3+x_4=4 ; x_1+7x_2+x_3+x_4=12 ; x_1+x_2+6x_3+x_4=-5 ~and ~x_1+x_2+x_3+4x_4=-6 ;

then the solution is

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