*Sixth Meaning of Samucchaya*

Applying the meaning of
*Samucchaya*
as 'total' in a
different application, we find the solution of what many books refer to as
'Harder equations' to be very simple.

Consider the following example

1+1=1+1x + 2 x - 9 x - 3 x - 4

The Vedic sutra says that, if other elements being equal, the sum total of the denominators on LHS and the total on RHS be same, then the total is equated to zero.

i.e. if
D_{1}
+ D_{2} = D_{3}
+ D_{4}
then D_{1} + D_{2}
= 0 is the solution.

Here D_{1}
+ D_{2} = 2x -7

D_{3} + D_{4}
= 2x -7

Hence as per the sutra we have 2x - 7 = 0

==> x = 7/2

Example 2 :

1+1=1+1x + 4 x + 5 x + 1 x + 8

We find that
D_{1}
+ D_{2} = D_{3}
+ D_{4 }= 2x + 9

Hence according to the sutra 2x + 9 = 0

==> x = -9/2