AOJ 0004 Simultaneous Equation

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(-1000 ≤ a, b, c, d, e, f ≤ 1000). 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 2 3 4 5 6
2 -1 -2 -1 -1 -5

Output for the Sample Input

-1.000 2.000
1.000 4.000

Hint

try it

2 -1 -3 1 -1 -3
2 -1 -3 -9 9 27

output should be

0.000 3.000
0.000 3.000

#include <iostream>
#include <iomanip>

using namespace::std;

int main(){

  float a,b,c,d,e,f;
  
  while(cin>>a){
  cin>>b>>c>>d>>e>>f;
  cout << fixed << setprecision(3) << (float)((int)(((e/b*c)-f)/((e/b*a)-d)*1000)/1000.0) << " ";
  cout << fixed << setprecision(3) << (float)((int)(((d/a*c)-f)/((d/a*b)-e)*1000)/1000.0) <<endl;
  }
}