Solving Systems of Nonlinear Equations with Substitution and Elimination

The Organic Chemistry Tutor

This educational video provides a comprehensive tutorial on solving systems of nonlinear equations, a key topic in advanced high school algebra. The instructor demonstrates multiple problem-solving techniques, specifically focusing on the substitution method and the elimination method. Through a series of five distinct examples, the video guides viewers from basic concept checking to solving complex systems involving parabolas, circles, and hyperbolas. The content covers how to verify if a given coordinate pair is a valid solution, how to choose the most efficient method (substitution vs. elimination) based on the equation types, and how to handle algebraic manipulation of quadratic expressions. The video emphasizes the importance of checking solutions to ensure accuracy and introduces systems that result in varying numbers of intersection points, from two to four. This resource is highly valuable for algebra teachers and students as it breaks down complex procedural steps into manageable parts. The clear, step-by-step visual demonstration on a digital whiteboard allows students to follow the algebraic logic easily. It can be used in the classroom to introduce the topic, as a remediation tool for struggling students, or as a reference for homework support.