In this comprehensive tutorial on the system of linear congruences in two variables, we delve into the fundamental concepts essential for engineering mathematics. Linear congruences are a vital aspect of algebraic systems, especially in the context of solving simultaneous equations. In this video, we cover: 🔍 Timestamps: 00:27 Working rule 02:41 Problem 1 15:51 Problem 2 24:41 Problem 3 34:06 Problem 4 Understanding the concept of congruences in modular arithmetic. Introduction to linear congruences and their significance in mathematical modeling. Formulating and solving systems of linear congruences in two variables. Techniques such as the Chinese Remainder Theorem for solving congruences. Practical applications and relevance in engineering problems. Whether you're a student grappling with engineering mathematics or an enthusiast looking to deepen your understanding of algebraic systems, this tutorial provides a structured approach to mastering the intricacies of linear congruences in two variables. Don't miss out on unlocking the key to solving complex equations efficiently and accurately! For more insightful tutorials on engineering mathematics and related topics, don't forget to subscribe to our channel and hit the notification bell to stay updated with our latest uploads. Happy learning!