Problem:
Simultaneous Equation

Write a program which solve a simultaneous equation:

ax + by = c

dx + ey = f

The program should print x and y for given a, b, c, d, e and f (-1,000 ≤ a, b, c, d, e, f ≤ 1,000). You can suppose that given equation has a unique solution.

Input

The input consists of several data sets, 1 line for each data set. In a data set, there will be a, b, c, d, e, f separated by a single space. The input terminates with EOF.

Output

For each data set, print x and y separated by a single space. Print the solution to three places of decimals. Round off the solution to three decimal places.

Sample Input 1

1 2 3 4 5 6
2 -1 -2 -1 -1 -5

Output for the Sample Input 1

-1.000 2.000
1.000 4.000

Sample Input 2

2 -1 -3 1 -1 -3
2 -1 -3 -9 9 27

Output for the Sample Input 2

0.000 3.000
0.000 3.000

Solution in C# (judge verdict: Accepted)

using System;
using System.Linq;
using System.Collections.Generic;
using System.IO;

namespace AOJV0
{
    class P0004
    {
        static void Main()
        {
            foreach(var s in EnumerateInputs()
                            .Select(x => x.Split(' '))
                            .Select(x => x.Select(double.Parse)))
            {
                var abc = s.Take(3).ToArray();
                var def = s.Skip(3).ToArray();
                var r1 = abc.Select(d => d * def[0]).ToArray();
                var r2 = def.Select(d => d * abc[0]).ToArray();
                var y = Math.Round((r1[2] - r2[2]) / (r1[1] - r2[1]) * 1000, MidpointRounding.AwayFromZero) / 1000;
                var x = Math.Round((abc[2] - abc[1] * y) / abc[0] * 1000, MidpointRounding.AwayFromZero) / 1000;
                Console.WriteLine(string.Format("{0} {1}", x.ToString("F3"), y.ToString("F3")));
            }
        }

        static IEnumerable<string> EnumerateInputs()
        {
            while(true)
            {
                var s = Console.In.ReadLine();
                if(s == null)
                    break;
                yield return s;
            }
        }
    }
}