Backward, Fortran - rextester

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 ENTER THE DIMENSION OF THE SYSTEM
 ENTER THE ELEMENT OF A (ROW-WISE)
   2.00000000       6.00000000       2.00000000       6.00000000    
   0.00000000      -16.0000000      -3.00000000       14.0000000    
   0.00000000       0.00000000       3.06250000       18.3750000    
 THE SOLUTION VECROT IS
X( 1),   3.00000
X( 2),  -2.00000
X( 3),   6.00000

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