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Objectives: The purpose of this research article is to find non-zero distinct integer solutions to the system of triple equations with five unknowns represented by . Different sets of distinct integer solutions are presented. Methods: Various substitution strategies and factorization techniques are employed for finding non-zero distinct integer solutions. Findings: Four different choices of substitutions are utilized to determine many non-zero distinct integer solutions to the given system of triple equations with five unknowns. Novelty: In this analysis, the given system of triple equations with five unknowns is reduced to a single non-homogeneous cubic equation for which solutions can be found elegantly.
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Thiruniraiselvi et al. (2024) studied this question.
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