Rozwiązywanie układów równań metodą podstawiania - Matematyka Szkoła Podstawowa i Gimnazjum

In this video, I demonstrate how to solve systems of equations using the substitution method. I teach the following steps: selecting a simpler equation, determining one unknown, substituting it into the second equation, transforming and solving equations. I demonstrate simplifications of systems of fractions by multiplying both sides by a common denominator. I perform algebraic transformations and reduce like terms. I apply the substitution method to increasingly difficult systems of equations, including those containing fractions, mixed numbers, and complex parenthetical expressions. Table of Contents: 1. Introduction to the Substitution Method 2. Choosing an Equation and an Unknown 3. Finding One Unknown 4. Substituting into a Second Equation 5. Solving a Simplified Equation 6. Calculating the Second Unknown 7. Applying the Method to a Second System of Equations 8. Finding y and Substituting into the Equation 9. Calculating the Value of x 10. Example with Fractions and Their Elimination 11. Simplifying an Equation by Reducing Fractions 12. Calculating Unknowns in a System of Fractions 13. Transformations in a Complex System of Equations 14. Multiplying Both Sides of an Equation by a Common Denominator 15. Removing Parentheses and Reducing Like Terms 16. Rules for Simplifying Systems Before Solving 17. Final Example and Summary of Transformation Rules The END of this VIDEO is available here:    • Dokończenie filmu p.t. Rozwiązywanie układ...   You can find more on the playlist:    • ALGEBRA RÓWNANIA NIERÓWNOŚCI UKŁADY RÓWNAŃ   You can get EASY ACCESS to all my math lessons using my website: www.matmagwiazdy.pl On this channel, you will find full lectures – 100% lessons – on Mathematics for Primary School, High School, and Technical School. Good luck :) Tomasz D. Gwiazda [00:02] Introduction to Solving Systems of Equations Using Substitution [00:33] Solving a System of Equations - Step by Step [05:58] Example 1 - Finding the Variable y and Substituting it into the Second Equation [10:28] Example 2 - Getting Rid of Fractions [19:46] Example 3 - A More Difficult Equation [26:07] Example 4 - Equations with Fractions