Solving Systems of Equations with Elimination and Substitution

The Organic Chemistry Tutor

This educational video provides a comprehensive tutorial on solving systems of linear equations using two fundamental algebraic techniques: the Elimination Method (also known as the Addition Method) and the Substitution Method. The instructor guides viewers through five distinct examples, progressively increasing in complexity to demonstrate different scenarios students will encounter in Algebra. The video uses a clear, step-by-step handwriting style on a black background to minimize distractions and focus entirely on the mathematical procedure. The content covers key algebraic concepts including combining like terms, isolating variables, the distributive property, and writing solutions as ordered pairs. The first half focuses on Elimination, showing both simple direct addition and cases where multiplication is required to create opposites. The second half focuses on Substitution, demonstrating how to handle systems where a variable is already isolated versus systems where algebraic manipulation is required before substituting. For educators, this video serves as an excellent instructional tool for Algebra 1 curriculums. It can be used to introduce these methods, reinforce procedural fluency, or provide remediation for students struggling with the mechanics of solving systems. The clear distinction between the two methods allows teachers to pause the video between sections to facilitate practice, while the final example offers a valuable opportunity to discuss strategy and method selection when faced with unaligned equations.