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 Scala (judge verdict: Wrong Answer)

import java.util.Scanner
import java.math.BigDecimal
object Main{
    def main(args:Array[String]):Unit={
        val scan = new Scanner(System.in)
        var x_list = List[Double]()
        var y_list = List[Double]()
        var count = 0
        while(scan.hasNextDouble()){
            val list = for(i <- 1 to 6) yield scan.nextDouble()
            val d = det(list(0),list(1),list(3),list(4))
            val x = det(list(2),list(1),list(5),list(4))/d
            val y = det(list(0),list(2),list(3),list(5))/d
            x_list :+= x
            y_list :+= y
            count+=0
        }
        for(i <- 0 to count){
            val x = new BigDecimal(String.valueOf(x_list(i)))
            val y = new BigDecimal(String.valueOf(y_list(i)))
            println(s"${x.setScale(3,BigDecimal.ROUND_HALF_UP).doubleValue()} ${y.setScale(3,BigDecimal.ROUND_HALF_UP).doubleValue()}")
        }
    }

    def det(a:Double,b:Double,c:Double,d:Double):Double 
        = a*d-b*c
}