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;

namespace AOJ.Volume0
{
    public class SimultaneousEquation
    {
        public static void Main()
        {
            while (true)
            {
                string input = Console.ReadLine();
                if (string.IsNullOrEmpty(input)) { break; }
                var data = input.Split(' ');

                double a, b, c, d, e, f;
                a = double.Parse(data[0]);
                b = double.Parse(data[1]);
                c = double.Parse(data[2]);
                d = double.Parse(data[3]);
                e = double.Parse(data[4]);
                f = double.Parse(data[5]);
                // クラメールの公式で解を求める
                // 解がないケースは問題に記述がないので考慮しない
                double v1 = (a * e) - (b * d);
                double x = ((c * e) - (b * f)) / v1;
                double y = ((a * f) - (c * d)) / v1;
                // 四捨五入
                x += 0.0005d;
                y += 0.0005d;
                x = Math.Floor(x * 1000) / 1000;
                y = Math.Floor(y * 1000) / 1000;

                Console.WriteLine(string.Format("{0:f3} {1:f3}", x, y));
            }
        }
    }
}