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 + 1 x + 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 D1 + D2 = D3 + D4 then D1 + D2 = 0 is the solution.
Here D1 + D2 = 2x -7
D3 + D4 = 2x -7
Hence as per the sutra we have 2x - 7 = 0
==> x = 7/2
Example 2 :
1 + 1 = 1 + 1 x + 4 x + 5 x + 1 x + 8
We find that D1 + D2 = D3 + D4 = 2x + 9
Hence according to the sutra 2x + 9 = 0
==> x = -9/2
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