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: Wrong Answer)


object Main extends App {
  val sc = new java.util.Scanner(System.in)
  var list: List[String] = List()
  while(sc.hasNext) {
    val ln = sc.nextLine
    list = ln :: list
    list = list.reverse
  }
  for(i <- 0 until list.length) {
    val line = list(i).split(" ").map(_.toInt)
    val y: Float = (line(0) * line(5) - line(2) * line(3))/(line(0) * line(4) - line(1) * line(3))
    val x: Float = (line(2) - line(1) * y) / line(0)
    val xf = "%.4f".format(x)
    val yf = "%.4f".format(y)
    println(xf + " " + yf)
  }
}