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 JAVA (judge verdict: Accepted)


import java.io.IOException;
import java.util.StringTokenizer;
import java.util.logging.Level;
import java.util.logging.Logger;

/*
 * To change this template, choose Tools | Templates
 * and open the template in the editor.
 */

/**
 *
 * @author wijebandara
 */
public class Main {
    public static void main(String[] args) {
        try {
            java.io.BufferedReader in = new java.io.BufferedReader(new java.io.InputStreamReader(System.in));
            
            String s =in.readLine();
            StringTokenizer st;
            while (s!=null) {
                st =new StringTokenizer(s);
                double a = Integer.parseInt(st.nextToken());
                double b = Integer.parseInt(st.nextToken());
                double c = Integer.parseInt(st.nextToken());
                double d = Integer.parseInt(st.nextToken());
                double e = Integer.parseInt(st.nextToken());
                double f = Integer.parseInt(st.nextToken());
                
                double y = (c*d-a*f)/(b*d-e*a);
                double x = (c*e-b*f)/(e*a-b*d);
                if(x==0.0)
                {
                    x=0.0;
                }
                if(y==0.0)
                {
                    y=0.0;
                }
                System.out.printf("%.3f %.3f\n",x,y);
                s =in.readLine();
            }
        } catch (Exception ex) {
            System.exit(0);
        }
        
    }
}