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.io.Source.stdin

object Main extends App {
  def det(a00:Double,a01:Double,a10:Double,a11:Double) = a00*a11-a01*a10

  for( i <- stdin.getLines ) {
    val Array(a,b,e,c,d,f) = i.split(" ").map(_.toDouble)
    val detA = det(a,b,c,d)
    printf("%.3f %.3f\n",det(e,b,f,d)/detA+0.0,det(a,e,c,f)/detA+0.0)
  }
}