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How To Solve Systems of Equations by Substitution (6 Examples)

2.6K views· 66 likes· 12:07· Jan 25, 2026

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https://brilliant.org/MariosMathTutoring/ Learn how to use the substitution method to solve systems of linear equations! In this comprehensive math tutorial, we walk through 6 examples together, covering every scenario you will face, including isolating a variable, dealing with distribution, and recognizing special cases like no solution and infinitely many solutions. Perfect for Algebra 1 and Algebra 2 students looking to master the substitution method. 💡 Examples and Key Concepts Covered: Example 1: Basic substitution with one variable already isolated. Example 2: Substitution when solving for the x variable. Example 3: How to isolate a variable when the system is not "ready-made" for substitution. Example 4: A special case example resulting in No Solution (parallel lines). Example 5: Isolating a variable and substituting into the second equation. Example 6: A special case example resulting in Infinitely Many Solutions (the same line). Common Pitfalls: Learn to avoid mistakes like improper distribution and substituting into the wrong variable. 🎁 Special Offer This video is sponsored by Brilliant.org. Brilliant is an amazing educational tool that helps you excel in math and computer science with visual, interactive problem-solving. Check out Brilliant today and get 20% off an annual premium subscription (unlimited daily access to all courses) by clicking the link below: https://brilliant.org/MariosMathTutoring/ ➡️JOIN the channel as a CHANNEL MEMBER at the "ADDITIONAL VIDEOS" level to get access to my math video courses(Algebra 1, Algebra 2/College Algebra, Geometry, PreCalculus), midterm & final exam reviews, ACT and SAT prep videos and more! (Over 390+ videos) https://www.youtube.com/channel/UClOR1BiPyOkkIAnv9Cmj4iw/join

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