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: Wrong Answer)

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

public class Main {

	public static void main(String[] args) {

		// ax + by = c
		// dx + ey = f

		BufferedReader br = new BufferedReader(new InputStreamReader(System.in));

		String ins;
		String[] ina;
		double a, b, c, d, e, f, x, y;

		try {
			ins = br.readLine();
			ina = ins.split(" ");

			a = Double.parseDouble(ina[0]);
			b = Double.parseDouble(ina[1]);
			c = Double.parseDouble(ina[2]);
			d = Double.parseDouble(ina[3]);
			e = Double.parseDouble(ina[4]);
			f = Double.parseDouble(ina[5]);

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

			System.out.println(String.format("%s %s", new BigDecimal(x)
					.setScale(3, RoundingMode.HALF_UP).toString(),
					new BigDecimal(y).setScale(3, RoundingMode.HALF_UP)
							.toString()));

			//System.out.println(String.format("%.3f %.3f", x, y));

		} catch (IOException ex) {
			ex.printStackTrace();
		} finally {
			try {
				br.close();
			} catch (IOException ex) {
				ex.printStackTrace();
			}
		}
	}
}