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.util.*;
import java.io.*;
import java.math.*;

public class Main{

    public static void main (String args[]) {
        
		double x,y = 0.000;
		
		try {
			BufferedReader br = new BufferedReader(new InputStreamReader(System.in));
			String line = "";
			
			while ((line = br.readLine()) != null) {
				String[] str = line.split(" ");
				
				if (str.length == 6) {
					double a = Double.parseDouble(str[0]);
					double b = Double.parseDouble(str[1]);
					double c = Double.parseDouble(str[2]);
					double d = Double.parseDouble(str[3]);
					double e = Double.parseDouble(str[4]);
					double f = Double.parseDouble(str[5]);
										
					x = (b*f - c*e)/(b*d - a*e);
					y = (c*d - a*f)/(b*d - a*e);
					
					BigDecimal bx = new BigDecimal(x);
					BigDecimal by = new BigDecimal(y);
					
					bx = bx.setScale(3, BigDecimal.ROUND_HALF_UP);
					by = by.setScale(3, BigDecimal.ROUND_HALF_UP);
					
					System.out.println(bx + " " + by);
					
				}else {
					System.exit(0);
				}
			}
		}
		catch (Exception e) {
			e.printStackTrace();
			System.exit(0);
		}
		finally {
			System.exit(0);
		}
    }
}