Buggy python submission (verdict: Runtime Error):
import sys
from decimal import Decimal

def main():

    #input_strings = sys.stdin.readlines()
    for coef_and_cons in input_strings:
        a, b, c, d ,e, f = map(Decimal, coef_and_cons.split())
        print([a,b,c,d,e,f])
        x = (f/e - c/b) / (d/e - a/b)
        y = (f/d - c/a) / (e/d - b/a)
        print('%.3f %.3f' %  (x.quantize(Decimal('0.001'), rounding='ROUND_HALF_DOWN'),
                              y.quantize(Decimal('0.001'), rounding='ROUND_HALF_DOWN') )
             )


main()

Fixed submission:
import sys
from decimal import Decimal
from fractions import Fraction

def main():

    input_strings = sys.stdin.readlines()
    for matrix_string in input_strings:
        matrix = list(map(Fraction, list(matrix_string.split())))
        if matrix[0] == 0:
            matrix = matrix[3:] + matrix[:3]
        matrix = list(map(lambda x: x / matrix[0], matrix[:3])) + matrix[3:]
        matrix = matrix[:3] + list(map(lambda x: x[1] - matrix[3] * x[0], zip(matrix[:3], matrix[3:])))
        matrix = matrix[:3] + list(map(lambda x: x / matrix[4], matrix[3:]))
        matrix = list(map(lambda x: x[0] - matrix[1] * x[1], zip(matrix[:3], matrix[3:]))) + matrix[3:]
        matrix = list(map(float, matrix))
        matrix = list(map(Decimal, matrix))
        matrix = list(map(lambda x: x.quantize(Decimal('.001'), rounding='ROUND_HALF_UP'), matrix))

        print('%.3f %.3f' % (matrix[2], matrix[5]))
main()

Buggy python submission (verdict: Runtime Error):
import sys
from decimal import Decimal

def main():

    #input_strings = sys.stdin.readlines()
    for coef_and_cons in input_strings:
        a, b, c, d ,e, f = map(Decimal, coef_and_cons.split())
        x = (f/e - c/b) / (d/e - a/b)
        y = (f/d - c/a) / (e/d - b/a)
        print('%.3f %.3f' %  (x.quantize(Decimal('0.001'), rounding='ROUND_HALF_DOWN'),
                              y.quantize(Decimal('0.001'), rounding='ROUND_HALF_DOWN') )
             )


main()

Fixed submission:
import sys
from decimal import Decimal
from fractions import Fraction

def main():

    input_strings = sys.stdin.readlines()
    for matrix_string in input_strings:
        matrix = list(map(Fraction, list(matrix_string.split())))
        if matrix[0] == 0:
            matrix = matrix[3:] + matrix[:3]
        matrix = list(map(lambda x: x / matrix[0], matrix[:3])) + matrix[3:]
        matrix = matrix[:3] + list(map(lambda x: x[1] - matrix[3] * x[0], zip(matrix[:3], matrix[3:])))
        matrix = matrix[:3] + list(map(lambda x: x / matrix[4], matrix[3:]))
        matrix = list(map(lambda x: x[0] - matrix[1] * x[1], zip(matrix[:3], matrix[3:]))) + matrix[3:]
        matrix = list(map(float, matrix))
        matrix = list(map(Decimal, matrix))
        matrix = list(map(lambda x: x.quantize(Decimal('.001'), rounding='ROUND_HALF_UP'), matrix))

        print('%.3f %.3f' % (matrix[2], matrix[5]))
main()

Buggy python submission (verdict: Runtime Error):
import sys
from decimal import Decimal

def main():

    input_strings = sys.stdin.readlines()
    for coef_and_cons in input_strings:
        a, b, c, d ,e, f = map(Decimal, coef_and_cons.split())
        x = (f/e - c/b) / (d/e - a/b)
        y = (f/d - c/a) / (e/d - b/a)
        print('%.3f %.3f' %  (x.quantize(Decimal('0.001'), rounding='ROUND_HALF_DOWN'),
                              y.quantize(Decimal('0.001'), rounding='ROUND_HALF_DOWN') )
             )


main()

Fixed submission:
import sys
from decimal import Decimal
from fractions import Fraction

def main():

    input_strings = sys.stdin.readlines()
    for matrix_string in input_strings:
        matrix = list(map(Fraction, list(matrix_string.split())))
        if matrix[0] == 0:
            matrix = matrix[3:] + matrix[:3]
        matrix = list(map(lambda x: x / matrix[0], matrix[:3])) + matrix[3:]
        matrix = matrix[:3] + list(map(lambda x: x[1] - matrix[3] * x[0], zip(matrix[:3], matrix[3:])))
        matrix = matrix[:3] + list(map(lambda x: x / matrix[4], matrix[3:]))
        matrix = list(map(lambda x: x[0] - matrix[1] * x[1], zip(matrix[:3], matrix[3:]))) + matrix[3:]
        matrix = list(map(float, matrix))
        matrix = list(map(Decimal, matrix))
        matrix = list(map(lambda x: x.quantize(Decimal('.001'), rounding='ROUND_HALF_UP'), matrix))

        print('%.3f %.3f' % (matrix[2], matrix[5]))
main()

Buggy python submission (verdict: Runtime Error):
import sys
from decimal import Decimal

def main():

    input_strings = sys.stdin.readlines()
    for coef_and_cons in input_strings:
        a, b, c, d ,e, f = map(Decimal, coef_and_cons.split())
        x = (f/e - c/b) / (d/e - a/b)
        y = (f/d - c/a) / (e/d - b/a)
        print('%.3f %.3f' %  (x.quantize(Decimal('0.001'), rounding='ROUND_HALF_DOWN'),
                              y.quantize(Decimal('0.001'), rounding='ROUND_HALF_DOWN') )
             )


main()

Fixed submission:
import sys
from decimal import Decimal
from fractions import Fraction

def main():

    input_strings = sys.stdin.readlines()
    for matrix_string in input_strings:
        matrix = list(map(Fraction, list(matrix_string.split())))
        if matrix[0] == 0:
            matrix = matrix[3:] + matrix[:3]
        matrix = list(map(lambda x: x / matrix[0], matrix[:3])) + matrix[3:]
        matrix = matrix[:3] + list(map(lambda x: x[1] - matrix[3] * x[0], zip(matrix[:3], matrix[3:])))
        matrix = matrix[:3] + list(map(lambda x: x / matrix[4], matrix[3:]))
        matrix = list(map(lambda x: x[0] - matrix[1] * x[1], zip(matrix[:3], matrix[3:]))) + matrix[3:]
        matrix = list(map(float, matrix))
        matrix = list(map(Decimal, matrix))
        matrix = list(map(lambda x: x.quantize(Decimal('.001'), rounding='ROUND_HALF_UP'), matrix))

        print('%.3f %.3f' % (matrix[2], matrix[5]))
main()

Buggy python submission (verdict: Runtime Error):
import sys
from decimal import Decimal
from fractions import Fraction

def main():

    #input_strings = sys.stdin.readlines()
    for matrix_string in input_strings:
        matrix = list(map(Fraction, list(matrix_string.split())))
        if matrix[0] == 0:
            matrix = matrix[3:] + matrix[:3]
        matrix = list(map(lambda x: x / matrix[0], matrix[:3])) + matrix[3:]
        matrix = matrix[:3] + list(map(lambda x: x[1] - matrix[3] * x[0], zip(matrix[:3], matrix[3:])))
        matrix = matrix[:3] + list(map(lambda x: x / matrix[4], matrix[3:]))
        matrix = list(map(lambda x: x[0] - matrix[1] * x[1], zip(matrix[:3], matrix[3:]))) + matrix[3:]
        matrix = list(map(float, matrix))
        matrix = list(map(Decimal, matrix))
        matrix = list(map(lambda x: x.quantize(Decimal('.001'), rounding='ROUND_HALF_UP'), matrix))

        print('%.3f %.3f' % (matrix[2], matrix[5]))
main()

Fixed submission:
import sys
from decimal import Decimal
from fractions import Fraction

def main():

    input_strings = sys.stdin.readlines()
    for matrix_string in input_strings:
        matrix = list(map(Fraction, list(matrix_string.split())))
        if matrix[0] == 0:
            matrix = matrix[3:] + matrix[:3]
        matrix = list(map(lambda x: x / matrix[0], matrix[:3])) + matrix[3:]
        matrix = matrix[:3] + list(map(lambda x: x[1] - matrix[3] * x[0], zip(matrix[:3], matrix[3:])))
        matrix = matrix[:3] + list(map(lambda x: x / matrix[4], matrix[3:]))
        matrix = list(map(lambda x: x[0] - matrix[1] * x[1], zip(matrix[:3], matrix[3:]))) + matrix[3:]
        matrix = list(map(float, matrix))
        matrix = list(map(Decimal, matrix))
        matrix = list(map(lambda x: x.quantize(Decimal('.001'), rounding='ROUND_HALF_UP'), matrix))

        print('%.3f %.3f' % (matrix[2], matrix[5]))
main()

Buggy python submission (verdict: Runtime Error):
import sys
from decimal import Decimal
from fractions import Fraction

def main():

    #input_strings = sys.stdin.readlines()
    for matrix_string in input_strings:
        matrix = list(map(Fraction, list(matrix_string.split())))
        if matrix[0] == 0:
            matrix = matrix[3:] + matrix[:3]
        matrix = list(map(lambda x: x / matrix[0], matrix[:3])) + matrix[3:]
        matrix = matrix[:3] + list(map(lambda x: x[1] - matrix[3] * x[0], zip(matrix[:3], matrix[3:])))
        matrix = matrix[:3] + list(map(lambda x: x / matrix[4], matrix[3:]))
        matrix = list(map(lambda x: x[0] - matrix[1] * x[1], zip(matrix[:3], matrix[3:]))) + matrix[3:]
        matrix = list(map(float, matrix))
        matrix = list(map(Decimal, matrix))
        matrix = list(map(lambda x: x.quantize(Decimal('.001'), rounding='ROUND_HALF_UP'), matrix))
        matrix = list(map(lambda x: x + 0, matrix))

        print('%.3f %.3f' % (matrix[2], matrix[5]))
main()

Fixed submission:
import sys
from decimal import Decimal
from fractions import Fraction

def main():

    input_strings = sys.stdin.readlines()
    for matrix_string in input_strings:
        matrix = list(map(Fraction, list(matrix_string.split())))
        if matrix[0] == 0:
            matrix = matrix[3:] + matrix[:3]
        matrix = list(map(lambda x: x / matrix[0], matrix[:3])) + matrix[3:]
        matrix = matrix[:3] + list(map(lambda x: x[1] - matrix[3] * x[0], zip(matrix[:3], matrix[3:])))
        matrix = matrix[:3] + list(map(lambda x: x / matrix[4], matrix[3:]))
        matrix = list(map(lambda x: x[0] - matrix[1] * x[1], zip(matrix[:3], matrix[3:]))) + matrix[3:]
        matrix = list(map(float, matrix))
        matrix = list(map(Decimal, matrix))
        matrix = list(map(lambda x: x.quantize(Decimal('.001'), rounding='ROUND_HALF_UP'), matrix))

        print('%.3f %.3f' % (matrix[2], matrix[5]))
main()