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 JavaScript (judge verdict: Time Limit Exceeded)

var SystemOfEquations = (function () {
    function SystemOfEquations(a, b, c, d, e, f) {
        this.a = a;
        this.b = b;
        this.c = c;
        this.d = d;
        this.e = e;
        this.f = f;
    }
    SystemOfEquations.prototype.lcm = function (a, b) {
        var alcm = 1;
        var blcm = 1;
        while (true) {
            if (Math.abs(a * alcm) === Math.abs(b * blcm)) {
                return [alcm, blcm];
            }
            if (Math.abs(a * alcm) > Math.abs(b * blcm)) {
                blcm++;
            } else {
                alcm++;
            }
        }
    };

    SystemOfEquations.prototype.solution = function () {
        var lcms = this.lcm(this.a, this.d);
        var b = this.b * lcms[0];
        var c = this.c * lcms[0];
        var e = this.e * lcms[1];
        var f = this.f * lcms[1];
        var g = b - (e < 0 ? -e : e);
        var h = c - (f < 0 ? -f : f);
        var y = h / g;
        var x = ((this.c - (this.b * y)) / this.a);
        return [x.toFixed(3), y.toFixed(3)];
    };
    return SystemOfEquations;
})();
process.stdin.resume();
process.stdin.setEncoding('utf8');
process.stdin.on('data', function (chunk) {
    chunk.trim().split('\n').forEach(function (line) {
        var items = line.trim().split(' ');
        if (items.length == 6) {
            var soe = new SystemOfEquations(+items[0], +items[1], +items[2], +items[3], +items[4], +items[5]);
            var solution = soe.solution();
            console.log(solution[0] + " " + solution[1]);
        }
    });
});