The document introduces Vedic Mathematics, an ancient Indian mathematical system based on sixteen sutras rediscovered by Sri Bharati Krishna Tirthaji. It discusses techniques for solving simultaneous linear equations, notably Sutras four and seven, and highlights their efficiency compared to traditional methods. The article suggests that these Vedic strategies can enhance the secondary mathematics curriculum and offer a unique historical perspective.

1. Innovative method to solve simultaneous Equations
using Vedic maths method
What is vedic mathematics?
Vedic Mathematics is the name given to the ancient system
of Indian Mathematics which was rediscovered from the
Vedas between 1911 and 1918 by Sri Bharati Krisna Tirthaji
(1884-1960). According to his research all of mathematics
is based on sixteen Sutras, or word-formulae. For example,
'Vertically and Crosswise` is one of these Sutras. These
formulae describe the way the mind naturally works and
are therefore a great help in directing the student to the
appropriate method of solution.

2. Where did it came from?
 The Bharati Krisna Tirtha claims that these sutras/techniques he
learnt from the Vedas especially ‘Rig-Veda’ directly or indirectly and
he intuitively rediscovered them when he was practicing meditation
for 8 years.
 The Rig veda deals with geometry
 The Yajur veda deals with Beatific Calculus or a quasi-mathematical
relationship
 The Atharva veda deals with progression
 The Saam veda deals with physical mathematics and statistics

3. In some cases, the processes of calculation are remarkably similar to other
historical gems: for example, Cramer’s rule (Katz, 2004, pp. 378–379) when
applied to 2 by 2 systems of linear equations is quite similar to the solution
process obtained using the Paravartya Yojayet Sutra (Babajee, 2012) which
translates roughly as “transpose and apply” (Williams & Gaskell, 2010).
This article aims to introduce some of the Vedic techniques, give an example
of how each technique may be used and how it may be proven algebraically,
with the big-picture question of where and when such ideas could be utilised
within the secondary mathematics curriculum.

4. Sutra seven: Sankalana vyavakalanabhyam
This sutra describes a process for solving simultaneous linear equations in two variables where the
coefficients of the unknowns in one equation are the same numbers as the coefficients of the unknowns in
the second equation except in the reverse order.

5. Sutra four: Paravartya yojayet
An excellent description of this sutra by Babajee (2012) makes a comparison to Cramer’s rule which is an interesting side note in
itself. (The proof of Cramer’s rule, in the 2 by 2 case at least, should not be beyond the ability of any student of mathematics who
has studied matrix determinants.)

6. Conclusion
• There is no doubting that the methods for solving systems of linear equations in the
Vedic sutras numbers four six and seven do work and are reasonably efficient
methods of solution.
• The fourth sutra is perhaps the most interesting in a more general sense as it works
for all simultaneous systems of linear equations.
• the Vedic sutras appear (based on this admittedly limited exploration) to be more
useful in specific cases of systems of simultaneous linear equations rather than
general cases.
• That said, the theorems within the sutras can be proven algebraically, add a unique
(and non-European) sense of history into the mathematics classroom and in the
specific cases where the sutras are more efficient than other techniques they are
amazingly efficient

7. When Sri Bharati Krisna Tirthaji had
published his book ‘ vedic
mathematics (1965); He was invited
to gave talks and mathematical
demonstrations on television and
gave some lectures in the UK on his
way back to India, in May 1958.
Cover page:

8. Did you know?
Our college people also have done some research on this topic:
Krutika Sapkal
GHRCE
Nagpur, India
krutikasapkal@gmail.com
Published in: 2016 International Conference on Computer
Communication and Informatics (ICCCI -2016), Jan. 07 – 09, 2016,
Coimbatore, INDIA
To read full survey checkout this link:
https://www.researchgate.net/publication/301197675_Solving_Linear_Equations_Using_Ve
dic_mathematical_Approach_on_Parallel_Platform

9. Refrences:
• https://www.researchgate.net/publication/301197675
• https://www.vedicmaths.org/introduction/history/the-life-of-sri-bharati-krsna-
tirthaji
• https://books.google.co.in/books?id=CONPBPWB8HsC&lpg=PP1&pg=PA304#v=onep
age&q&f=false
• http://blogannath.blogspot.com/2010/01/vedic-mathematics-lesson-35.html
• https://mycatstudy.wordpress.com/2010/06/22/solving-simultaneous-equations-
using-vedic-maths/
• https://www.electromaths.in/simultaneous-linear-equation-by-vedic-method/