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.BufferedReader;
import java.io.InputStreamReader;
import java.io.IOException;
import java.math.BigDecimal;

class Main{
    public static void main(String[]args)throws IOException{
        BufferedReader br = new BufferedReader(new InputStreamReader(System.in));
        String str;

        while((str= br.readLine()) != null){
            String[] str2 = str.split(" ");
            double a = Double.parseDouble(str2[0]);
            double b = Double.parseDouble(str2[1]);
            double c = Double.parseDouble(str2[2]);
            double d = Double.parseDouble(str2[3]);
            double e = Double.parseDouble(str2[4]);
            double f = Double.parseDouble(str2[5]);


            double x = (c*e - b*f) / (a*e - b*d);
            double y = (c*d - a*f) / (b*d - a*e);

            BigDecimal bdY = new BigDecimal(y);
            BigDecimal bdX = new BigDecimal(x);

            bdY = bdY.setScale(3, BigDecimal.ROUND_HALF_UP);
            bdX = bdX.setScale(3, BigDecimal.ROUND_HALF_UP);


            System.out.printf("%.3f %.3f\n",bdX,bdY);
        }
    }
}