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.*;
public class Main {

	public static void main (String[] args) throws IOException{
		BufferedReader br = new BufferedReader(new InputStreamReader(System.in));
		String line;
		
		while ((line = br.readLine()) != null) {
			String[] numbers = line.split(" ");
			double[] coef = new double[6];
			
			for(int i = 0; i < 6; i++){
				coef[i] = Double.parseDouble(numbers[i]);
			}
			
			double x = (coef[2]*coef[4]-coef[1]*coef[5])/(coef[0]*coef[4]-coef[1]*coef[3]);
			double y = (coef[0]*coef[5]-coef[2]*coef[3])/(coef[0]*coef[4]-coef[1]*coef[3]);
			
			if(x == 0.0){
				x = Math.abs(x); 
			}
			
			if(y == 0.0){
				y = Math.abs(y); 
			}
			
            System.out.printf("%.3f %.3f\n", x, y);
        }
	}
}