




__a							     =					'Input must be a string of 8 numbers plus letter'
__a							     =					'TRWAGMYFPDXBNJZSQVHLCKE'







def lowerCamelCase__  (     _lowercase ):

     '''simple docstring'''


     if not isinstance(_lowercase					,		_lowercase ):
          UpperCAmelCase_     :				List[Any]  =     f'''Expected string as input, found {type(_lowercase ).__name__}'''
          raise TypeError(_lowercase )

     UpperCAmelCase_     :				Tuple  =     spanish_id.replace('''-'''					,		'''''' ).upper()
     if len(_lowercase ) != 9:
          raise ValueError(_lowercase )

     try:
          UpperCAmelCase_     :				str  =     int(spanish_id_clean[0:8] )
          UpperCAmelCase_     :				Optional[int]  =     spanish_id_clean[8]
     except ValueError as ex:
          raise ValueError(_lowercase ) from ex

     if letter.isdigit():
          raise ValueError(_lowercase )

     return letter == LOOKUP_LETTERS[number % 23]


if __name__ == "__main__":
     import doctest

     doctest.testmod()




'''simple docstring'''





def 			a_	(				_lowerCAmelCase			,_lowerCAmelCase			) -> tuple[float, float]:

  # Check if the input is valid
  if not len(_lowerCAmelCase			) == len(_lowerCAmelCase			) == 3:
    raise ValueError('Please enter a valid equation.'			)
  if equationa[0] == equationa[1] == equationa[0] == equationa[1] == 0:
    raise ValueError('Both a & b of two equations can\'t be zero.'			)

  # Extract the coefficients
  __lowerCamelCase			,__lowerCamelCase			,__lowerCamelCase			:			Union[str, Any]       			=					equationa
  __lowerCamelCase			,__lowerCamelCase			,__lowerCamelCase			:			Any       			=					equationa

  # Calculate the determinants of the matrices
  __lowerCamelCase			:			Union[str, Any]       			=					aa * ba - aa * ba
  __lowerCamelCase			:			Dict       			=					ca * ba - ca * ba
  __lowerCamelCase			:			List[str]       			=					aa * ca - aa * ca

  # Check if the system of linear equations has a solution (using Cramer's rule)
  if determinant == 0:
    if determinant_x == determinant_y == 0:
      raise ValueError('Infinite solutions. (Consistent system)'			)
    else:
      raise ValueError('No solution. (Inconsistent system)'			)
  else:
    if determinant_x == determinant_y == 0:
      # Trivial solution (Inconsistent system)
      return (0.0, 0.0)
    else:
      __lowerCamelCase			:			Tuple       			=					determinant_x / determinant
      __lowerCamelCase			:			Union[str, Any]       			=					determinant_y / determinant
      # Non-Trivial Solution (Consistent system)
      return (x, y)






