def assign_coeficients_to_system_of_equations
      self.list_atoms
      atom_list = self.left_total.merge(self.right_total)
      # Get the Chemical list
      atom_list.keys.each do |atom|

        self.set_up_system_of_equations
        assign_coeficients_to_part_system_of_equations(@right_system_of_equations,atom)
        assign_coeficients_to_part_system_of_equations(@left_system_of_equations,atom)
        subtract_right_side
        write_matrix
      end
    end
def assign_coeficients_to_system_of_equations
      self.list_atoms
      atom_list = self.left_total.merge(self.right_total)
      # Get the Chemical list
      atom_list.keys.each do |atom|

        self.set_up_system_of_equations
        assign_coeficients_to_part_system_of_equations(@right_system_of_equations,atom)
        assign_coeficients_to_part_system_of_equations(@left_system_of_equations,atom)
        subtract_right_side
        write_matrix
      end
    end
2. determnie instances on left and right of each atom, and assign those to coeficients
 C12H26 + O2 = CO2 + H2O
 O = {left:"2b",right:"2c + 1d"}
 O = "2b=2c+1d"