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Article

Open Access

On the Pair of Equations x + y = z + w, y + z = (x - w)²

Author(s)

A. Vijayasankar, Sharadha Kumar and M. A. Gopalan

Full-Text PDF Download XML 523 Views

DOI:10.17265/2159-5291/2019.04.003

Affiliation(s)

Department of Mathematics, National College, Trichy 620 001, Tamil Nadu, India Department of Mathematics, Shrimati Indira Gandhi College, Trichy 620 002, Tamil Nadu, India

ABSTRACT

The system of double equations given by x + y = z + w, y + z = (x - w)², is studied for obtaining its non-zero distinct solutions in integers.

KEYWORDS

Double equations, integer solutions, pair of equations with 5 unknowns.

Cite this paper

Gopalan, M. A. 2019. “On the Pair of Equations x + y = z + w, y + z = (x - w)2” Journal of Mathematics and System Science 9: 115-8.

References

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[16] Gopalan, M. A., Vidhyalakshmi S., and Lakshmi, K. 2014. “On the System of Double Equations 4x² – y² = z², x² + 2y² = w².” Scholars Journal of Engineering and Technology (SJET) 2 (2A): 103-4.

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[18] Gopalan, M. A., Vidhyalakshmi, S., and Nivetha, A. 2016. “On the System of Double Diophantine Equations a₀ + a₁ = q², a₀a₁± 6(a₀ + a₁) = p² – 36.” Transactions on Mathematics^TM 2 (1): 41-5.

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[23] Vidhyalakshmi, S., Gopalan, M. A., and Aarthy Thangam, S. 2017. “Three Special Systems of Double Diophantine Equations.” IJRSR 8 (12): 22292-6.

[24] Vidhyalakshmi, S., Gopalan, M. A., and Aarthy Thangam, S. 2017. “On the Pair of Diophantine Equations.” IJSIMR 5 (8): 27-34.

[25] Gopalan, M. A., Vidhyalakshmi, S., and Aarthy Thangam, S. 2018. Systems of Double Diophantine Equations. Guntur, AP: KY Publication.