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)

while line = gets do
  a, b, c, d, e, f = line.split.map(&:to_f)
  matrix = [[a, b], [d, e]]
  m2 = [[c], [f]]
  inv = [[matrix[1][1], matrix[0][1] * -1], [matrix[1][0] * -1, matrix[0][0]]]
  c = matrix[0][0] * matrix[1][1] - matrix[1][0] * matrix[0][1]
  2.times do |i|
    2.times do |j|
      inv[i][j] /= c
    end
  end

  x = inv[0][0] * m2[0][0] + inv[0][1] * m2[1][0]
  y = inv[1][0] * m2[0][0] + inv[1][1] * m2[1][0]
  puts "#{sprintf("%.3f", x)} #{sprintf("%.3f", y)}"
end