Abstract Linear equations are among the most fundamental concepts in mathematics and serve as the foundation for many innovative topics (Stewart, 2015). Although simple in structure, they play an essential role in solving real-life problems in fields such as economics, science, engineering, and everyday decision-making (Anton, 2010). Linear equations provide a systematic way to describe relationships between variables and are widely used to symbolize practical situations involving constant rates of change (Jain & Iyengar, 2016). Their simplicity and versatility make them an essential tool for understanding mathematical reasoning and problem-solving (NCERT, 2022). This research paper presents a complete and humanized study of linear equations, focusing on their definitions, standard forms, graphical representation, and procedures of solving. It also emphasizes their practical applications in areas such as personal finance, business analysis, and basic scientific models (Stewart, 2015). By connecting theoretical concepts with real-world examples, the study aims to help students improve a deeper understanding of linear equations and recognize their relevance beyond the classroom. The paper highlights how linear equations serve as effective mathematical tools for analyzing and solving everyday problems in a clear and logical manner.
Prachi G. Nannavare (Sat,) studied this question.