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)

object Main {
  def main(args:Array[String]) = {
    val sc = new java.util.Scanner(System.in)
    while (sc.hasNext){
      val a, b, c, d, e, f = sc.nextInt
      val delta : Double = a * e - b * d
      val tx = BigDecimal((e * c - b * f) / delta)
      val ty = BigDecimal((a * f - d * c) / delta)
      val x = tx.setScale(3, scala.math.BigDecimal.RoundingMode.HALF_UP)
      val y = ty.setScale(3, scala.math.BigDecimal.RoundingMode.HALF_UP)
      println(x + " " + y)
    //println(f"$x%.3f $y%.3f")
    }
  }
}