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 java.util.Scanner

import scala.collection.mutable.ListBuffer
import scala.math.BigDecimal.RoundingMode

object Main {
  def main(args : Array[String]) = {
    val scanner = new Scanner(System.in)
    val inputs = ListBuffer.empty[Array[BigDecimal]]
    while(scanner.hasNextLine) {
      inputs += scanner.nextLine().split(" ").map(BigDecimal(_))
    }

    inputs.foreach{
      case Array(a,b,c,d,e,f) =>
        var wA = a / a
        var wB = b / a
        var wC = c / a
        var wD = d - wA * d
        var wE = e - wB * d
        var wF = f - wC * d

        wD = wD / wE
        wF = wF / wE
        wE = wE / wE

        wA = wA - wD * wB
        wC = wC - wF * wB
        wB = wB - wE * wB

        println(s"${wC.setScale(3, RoundingMode.HALF_UP)} ${wF.setScale(3, RoundingMode.HALF_UP)}")
    }
  }
}