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 Ruby (judge verdict: Accepted)

require 'matrix'
$stdin = DATA if $stdin.eof?

ARGF.each_line do |line|
  a, b, c, d, e, f = line.split.map(&:to_r)

  mat_a = Matrix[ [a, b], [d, e]].inverse
  mat_b = Matrix[ [c], [f]]

  mat_s = mat_a * mat_b
  puts mat_s.column(0).to_a.map(&:to_f).map{|e| "%1.3f" % e.round(3)}.join("\s")
end