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.math.BigDecimal;
import java.math.RoundingMode;
import java.util.Scanner;

public class Main {
	public static void main(String[] args){
		Scanner scan = new Scanner(System.in);
		while(scan.hasNext()){
			double a = scan.nextDouble();
			double b = scan.nextDouble();
			double c = scan.nextDouble();
			double d = scan.nextDouble();
			double e = scan.nextDouble();
			double f = scan.nextDouble();
			
			b = b / a;
			c = c / a;
				
			e = e - b * d;
			f = f - c * d;
			d = 0;
						
			f = f / e;
			e = 1;
			
			c = c - f*b;			
			b = 0;
			
			BigDecimal x = new BigDecimal(c);
			BigDecimal y = new BigDecimal(f);
			
			x = x.setScale(3, RoundingMode.DOWN);
			y = y.setScale(3, RoundingMode.DOWN);
			
			System.out.println(x+" "+y);
		}
		
		
	}
}