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 scala.io.StdIn._
import scala.annotation.tailrec

object Main {
    def main(args: Array[String]): Unit = { 
        digit(readLine().split(" ").map(_.toDouble))
    }   

    @tailrec
    def digit(n: Seq[Double]): Unit = {
       val x: Double = (n(1)*n(5) - n(4)*n(2)) / (n(1)*n(3) - n(0)*n(4))
       val y: Double = (n(0)*n(5) - n(2)*n(3)) / (n(0)*n(4) - n(1)*n(3))
       println(f"$x%2.3f" + " " + f"$y%2.3f")
       val next: String = readLine()
       if(next == null) Unit else digit(next.split(" ").map(_.toDouble))
    }
}