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 PHP (judge verdict: Accepted)

<?php

while (true) {
    $a = array();
    $b = array();
    fscanf(STDIN, '%f %f %f %f %f %f', $a[], $a[], $a[], $b[], $b[], $b[]);
    if (feof(STDIN)) {
        break;
    }
    if ($a[0] === 0.0) {
        $tmp = $a;
        $a = $b;
        $b = $tmp;
    }
    $div = $a[0];
    for ($i = 0; $i < 3; $i++) {
        $a[$i] /= $div;
    }
    $t = $b[0] / $a[0];
    for ($i = 0; $i < 3; $i++) {
        $b[$i] -= $a[$i] * $t;
    }
    $div = $b[1];
    for ($i = 0; $i < 3; $i++) {
        $b[$i] /= $div;
    }
    $t = $a[1] / $b[1];
    for ($i = 0; $i < 3; $i++) {
        $a[$i] -= $b[$i] * $t;
    }
    echo sprintf('%.3f %.3f', round($a[2], 4), round($b[2], 4));
    echo PHP_EOL;
}