Paravartya Yojayet 'Paravartya

Yojayet means 'transpose and apply'. You may observe a very close relation of the method Paravartya in this aspect with regard to REMAINDER THEOREM and HORNER PROCESS of Synthetic division. And yet Paravartya goes much farther and is capable of numerous applications in other directions also.

Paravartya in solving simple equations : As it means 'transpose and apply'. The rule relating to transposition enjoins in variable change of sign with every change of side. i.e., + becomes - and vice versa; X becomes ÷ and vice versa. Further it can be extended to the transposition of terms from left to right and vice versa and from numerator to denominator and converse also holds true in the concerned problems.