Using Substitution to Solve a System of 2 Linear Equations

Learn the substitution method to solve systems of two linear equations in two variables! Mario's Math Tutoring walks you through two examples, demonstrating how to isolate one variable and substitute its expression into the other equation. Master the steps to simplify, combine like terms, and solve for both variables, including important tips to avoid common mistakes like combining unlike terms or substituting into the wrong equation.

In this video, you'll discover:

0:00 Introduction to the Substitution Method
0:20 Step 1: Solve for One Variable (Choose the Easiest One!)
0:50 Example 1: Solving 2x + y = 5 and 3x - 2y = 11
1:00 Isolating 'y' in the First Equation
1:40 Step 2: Substitute the Expression into the Other Equation
2:10 Distributing a Negative Number (Common Mistake Alert!)
2:50 Combining Like Terms and Solving for 'x'
3:40 Step 3: Substitute Back to Solve for 'y'
4:00 Final Solution (x, y) and How to Check Your Answer
4:50 Example 2: Solving x - 3y = -11 and 5x + 4y = 2
5:30 Isolating 'x' in the First Equation
6:00 Substituting the Expression into the Second Equation
6:30 Distributing and Combining Like Terms
7:20 Solving for 'y'
7:50 Substituting Back to Solve for 'x'
8:30 Final Solution (x, y) and How to Check Your Answer
Master the substitution method and confidently solve systems of linear equations!

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