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: Accepted)

import scala.util.control.Breaks
object Main extends App {
  val bs = Breaks

  bs.breakable {
    for (line <- io.Source.stdin.getLines()) {
      if (line.isEmpty) bs.break()

      val Seq(a, b, c, d, e, f) = line.split(' ').map(_.toDouble).toList

      val det = a * e - b * d

      var x = "%.3f".format((c*e - b*f) / det)
      var y = "%.3f".format((a*f - c*d) / det)

      if (x == "-0.000") x = "0.000"
      if (y == "-0.000") y = "0.000"

      println("%s %s".format(x, y))
    }
  }
}