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)

def solve(eq)
  m = []
  m << eq[0..2]
  m << eq[3..5]

  # 前進消去
  r0 = m[0][0]
  m[0].map! {|x| x / r0}
  r1 = -m[1][0]
  m[1].map!.with_index {|x, i| x + r1 * m[0][i]}

  # 後退消去
  r1 = m[1][1]
  m[1].map! {|x| x / r1}
  r0 = -m[0][1]
  m[0].map!.with_index {|x, i| x + r0 * m[1][i]}

  [m[0][2], m[1][2]]
end

eqs = ARGF.each_line.map {|line| line.split(" ").map {|v| v.to_f}}

eqs.each do |eq|
  solution = solve(eq)
  puts solution.map {|x| "%.3f".%(x)}.join(" ")
end