4x4 ver 3, C# - rextester

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//Rextester.Program.Main is the entry point for your code. Don't change it.
//Compiler version 4.0.30319.17929 for Microsoft (R) .NET Framework 4.5

using System;
using System.Collections.Generic;
using System.Linq;
using System.Text.RegularExpressions;

namespace Rextester
{
    public class Program
    {
        public static void Main(string[] args)
        {
            //Your code goes here
            
            int a1,a2,a3,a4,b1,b2,b3,b4,c1,c2,c3,c4,d1,d2,d3,d4,e1,e2,e3,e4;
            double w,x,y,z;
            
            a1 = 2;
            b1 = -1;
            c1 = 5;
            d1 = 1;
            e1 = -3;
            a2 = 3;
            b2 = 2;
            c2 = 2;
            d2 = -6;
            e2 = -32;
            a3 = 1;
            b3 = 3;
            c3 = 3;
            d3 = -1;
            e3 = -47;
            a4 = 5;
            b4 = -2;
            c4 = -3;
            d4 = 3;
            e4 = 49;

x = (( ( (d4*c3-d3*c4)*(d3*b2-d2*b3)-(d3*c2-d2*c3)*(d4*b3-d3*b4) ) * ( (d3*c2-d2*c3)*(d2*e1-d1*e2)-(d2*c1-d1*c2)*(d3*e2-d2*e3) )  )-( (d3*c2-d2*c3)*(d2*b1-d1*b2)-(d2*c1-d1*c2)*(d3*b2-d2*b3) ) * ( (d4*c3-d3*c4)*(d3*e2-d2*e3)-(d3*c2-d2*c3)*(d4*e3-d3*e4) ))
                 /
                ( ( (d4*c3-d3*c4)*(d3*b2-d2*b3)-(d3*c2-d2*c3)*(d4*b3-d3*b4) ) * ( (d3*c2-d2*c3)*(d2*a1-d1*a2)-(d2*c1-d1*c2)*(d3*a2-d2*a3) ) - ( (d3*c2-d2*c3)*(d2*b1-d1*b2)-(d2*c1-d1*c2)*(d3*b2-d2*b3) )* ( (d4*c3-d3*c4)*(d3*a2-d2*a3)-(d3*c2-d2*c3)*(d4*a3-d3*a4) ) );

y = ( (d3*c2-d2*c3)*(d2*e1-d1*e2) - (d2*c1-d1*c2)*(d3*e2-d2*e3) - ( (d3*c2-d2*c3)*(d2*a1-d1*a2) - (d2*c1-d1*c2)*(d3*a2-d2*a3) )*x ) 
            / ( (d3*c2-d2*c3)*(d2*b1-d1*b2) - (d2*c1-d1*c2)*(d3*b2-d2*b3) );
            z = (d3*e2-d2*e3-(d3*a2-d2*a3)*x-(d3*b2-d2*b3)*y ) / (d3*c2-d2*c3);

w = (e1-a1*x-b1*y-c1*z) / d1;
            Console.WriteLine("x, y, z, w = {0}, {1}, {2}, {3}", x,y,z,w);
            
            Console.WriteLine( );
            //  
            // 
            // num// ( ( (d4*c3-d3*c4)*(d3*b2-d2*b3)-(d3*c2-d2*c3)*(a4*b3-d3*b4) ) * ( (d3*c2-d2*c3)*(d2*a1-d1*a2)-(d2*c1-d1*c2)*(d3*a2-d2*a3) ) - ( (d3*c2-d2*c3)*(d2*b1-a1*b2)-(d2*c1-d1*c2)*(d3*b2-d2*b3) ) * ( (d4*c3-d3*c4)*(d3*a2-d2*a3)-(d3*c2-d2*c3)*(d4*a3-d3*a4) ) ) 
            // denom //
        }
    }
}

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Compilation time: 0,14 sec, absolute running time: 0,11 sec, cpu time: 0,09 sec, average memory usage: 12 Mb, average nr of threads: 3