How to Solve 3 Variable 3 Equation Word Problems

Tackle challenging 3-variable, 3-equation word problems with confidence! In this video, Mario's Math Tutoring guides you through three diverse examples, focusing on how to translate real-world scenarios into solvable systems of equations. Learn effective strategies for setting up your equations and then solving them using substitution and elimination methods. Perfect for Algebra 2 students and anyone looking to master complex word problems! In this video, you'll learn: 0:00 Introduction to 3-Variable, 3-Equation Word Problems 0:20 Strategy: Writing Equations from Word Problems 0:50 Example 1: Investment Bond Problem (Interest Rates) 1:10 Setting Up Equation 1: Total Investment 1:30 Setting Up Equation 2: Total Interest Earned 2:00 Setting Up Equation 3: Relationship Between Investments 2:30 Common Mistake: Reversing Relationships in Equations 3:00 Cleaning Up Equations (Clearing Decimals, Rearranging) 4:00 Solving the System Using Elimination (Eliminating Y) 5:20 Solving the 2-Variable System for X and Z 6:00 Finding the Value of Y and Stating the Final Solution 6:50 Example 2: Coin Collection Problem (Nickels, Dimes, Quarters) 7:20 Setting Up Equation 1: Total Value of Coins 8:00 Setting Up Equation 2: Relationship Between Nickels and Dimes 8:30 Setting Up Equation 3: Value of Quarters vs. Dimes 9:20 Cleaning Up and Solving the System for Dimes, Nickels, and Quarters 13:00 Example 3: Test Questions Problem (True/False, Multiple Choice, Free Response) 13:40 Setting Up Equation 1: Total Number of Questions 14:00 Setting Up Equation 2: Total Points 14:30 Setting Up Equation 3: Relationship Between Question Types 15:00 Solving the System Using Substitution 17:00 Solving the 2-Variable System for True/False and Free Response 18:00 Finding the Number of Multiple Choice Questions and Final Solution Master the art of translating and solving complex word problems with three variables! #WordProblems #SystemsOfEquations #Algebra2 #MathTutorial #MathHelp #ThreeVariables #equationsolving ➡️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, and PreCalculus), midterm & final exam reviews, ACT and SAT prep videos and more! (Over 390+ videos) https://www.youtube.com/channel/UClOR1BiPyOkkIAnv9Cmj4iw/join