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.util.Scanner;

public class Main {

	void run() {
		Scanner sc = new Scanner(System.in);

		while (sc.hasNext()) {
			double a = sc.nextInt();
			double b = sc.nextInt();
			double c = sc.nextInt();
			double d = sc.nextInt();
			double e = sc.nextInt();
			double f = sc.nextInt();

			// 連立方程式の解
			double x = (b * f - c * e) / (b * d - a * e);
			double y = (c * d - a * f) / (b * d - a * e);

			if (x == 0)
				x = 0;
			if (y == 0)
				y = 0;

			System.out.printf("%.3f %.3f\n", x, y);

			// BigDecimal ax = new BigDecimal(x);
			// BigDecimal ay = new BigDecimal(y);
			//
			// // 小数第4位を四捨五入
			// ax = ax.setScale(3, BigDecimal.ROUND_HALF_UP);
			// ay = ay.setScale(3, BigDecimal.ROUND_HALF_UP);
			//
			// System.out.println(ax + " " + ay);
		}

		sc.close();
	}

	void run1() {
		Scanner sc = new Scanner(System.in);

		double[] a = new double[6];

		while (sc.hasNext()) {
			for (int i = 0; i < 6; i++) {
				a[i] = sc.nextDouble();
			}

			double d = a[0] * a[4] - a[1] * a[3];
			double x = (a[4] * a[2] - a[1] * a[5]) / d;
			double y = (a[0] * a[5] - a[3] * a[2]) / d;

			if (x == 0)
				x = 0;
			if (y == 0)
				y = 0;

			System.out.printf("%.3f %.3f", x, y);
		}

		sc.close();
	}

	public static void main(String[] args) {
		new Main().run1();
	}

}