VTU 1st Sem Maths Module 3 (2025 Scheme) | Traffic Flow Problems | System of Linear Equations

Описание: Welcome to Express VTU 4 All 🎓
In this video, we solve an important VTU Engineering Mathematics problem from Module 03 – System of Linear Equations, strictly according to the VTU 2025 Scheme.
This question is based on traffic flow problems, where we convert a real-life one-way road network into a system of linear equations and then solve it using standard methods.
🔹 Topic Covered
Traffic Flow Problems using System of Linear Equations
🔹 Question Overview
A traffic network with one-way street directions is given in the figure.
Each junction must satisfy the law of conservation of flow:
Total inflow = Total outflow
Using this condition, we
• Form linear equations at each junction
• Construct a system of equations
• Solve the system to find unknown traffic flows
🔹 Concepts Used in This Video
✔ System of linear equations
✔ Traffic flow modelling
✔ Conservation of flow principle
✔ Matrix method / elimination method
✔ VTU exam-oriented solution steps
🔹 Why This Question Is Important for VTU Exams
✅ Very popular application-based problem
✅ Frequently asked in Module 3
✅ Tests equation formulation skills
✅ Easy scoring 5–10 mark question
✅ Fully aligned with VTU 2025 Scheme
🔹 VTU Exam Tip (2025 Scheme)
• Clearly write equations at each junction
• Use arrows direction carefully
• Mention conservation law explicitly
• Solve neatly step-by-step
📘 Syllabus Details
Subject: Engineering Mathematics
Semester: 1st Semester
Module: 03
Unit: System of Linear Equations
Scheme: VTU 2025 Scheme
Subject Code: 1BMATS101



Write the system of linear equations of the traffic flow on the net of one-way street directions as shown in the figure and find its solution.

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