*Shoonyam Samucchaye Sutra*

This is an extension of the fifth meaning (type) discussed under 'simple equations'. By the application of the aforesaid formula, we get two simple equations which on solving yield the two values of x.

Example 1 :

7x + 5=9x + 79x - 5 7x + 17 Here N_{1}+ N_{2}= D_{1}+ D_{2}= 16x + 12 Therefore 16x + 12 = 0 ==> x = 3/4 N_{1}~ D_{1}= N_{2}~ D_{2}= 2x - 10 Therefore 2x - 10 = 0 ==> x = 5

2)16x - 3=2x - 157x + 7 11x - 25 N_{1}+ N_{2}= D_{1}+ D_{2}= 18x - 18 18x - 18 = 0 ==> x = 1 N_{1}~ D_{1}= N_{2}~ D_{2}= 9x - 10 9x - 10 = 0 ==> x = 10/9