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.Scanner;

public class Main {

    public static void main(String[] args) {
        Scanner scanner = new Scanner(System.in);

        while (scanner.hasNext()) {
            double a = scanner.nextDouble();
            double b = scanner.nextDouble();
            double c = scanner.nextDouble();
            double d = scanner.nextDouble();
            double e = scanner.nextDouble();
            double f = scanner.nextDouble();

            Equation[] equation = new Equation[2];
            equation[0] = new Equation(a, b, c);
            equation[1] = new Equation(d, e, f);

            double[] solution = solve(equation[0], equation[1]);

            final int SIZE = solution.length;
            for (int i = 0; i < SIZE; i++) {
                if (solution[i] == -0) {
                    solution[i] = 0;
                }
            }
            System.out.printf("%.3f %.3f\n", solution[0], solution[1]);
        }
    }

    static double[] solve(Equation left, Equation right) {
        double determinant = left.a * right.b - right.a * left.b;
        double x = (right.b * left.c - left.b * right.c) / determinant;
        double y = (-right.a * left.c + left.a * right.c) / determinant;

        double[] result = { x, y };
        return result;
    }

}

// ax + by = c
class Equation {

    Equation(double a, double b, double c) {
        this.a = a;
        this.b = b;
        this.c = c;
    }

    public double a;
    public double b;
    public double c;

}