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.math.BigDecimal.RoundingMode._
object Main extends App {

  val sc = new Scanner(System.in)
  while(sc.hasNext){
    val line = sc.nextLine()
    val n =  line.split(" ").map {_.toDouble}
    val a = n(0)
    val b = n(1)
    val c = n(2)
    val d = n(3)
    val e = n(4)
    val f = n(5)

    var x :BigDecimal = BigDecimal((b*f-e*c) / (b*d-a*e)).setScale(3, HALF_UP)
    var y :BigDecimal = ((c - a * x) / b).setScale(3, HALF_UP)

    if(x==0)x=0;
    if(y==0)y=0;
    println(f"$x%.3f $y%.3f")
  }
}