Solving Equations with 2 Variables

🎬 Video Tutorial

(0:01) Equations with Two Variables: In equation $x + 2y = 20$, $x$ represents cookies, $y$ represents sandwiches, and £20 budget.
(1:00) Substituting Values: By plugging in $x = 10$ to find $y = 5$, meaning you can afford 10 cookies and 5 sandwiches. Similarly, substitute $y = 8$ to get $x = 4$.
(1:53) Graphing linear equations: Rewrite the equation in terms of $y$, giving $y = 10 – 0.5x$, and plot this to see the relationship between $x$ and $y$ visually.
(2:36) Solution combinations: Each point on the line represents a possible combination of cookies and sandwiches (e.g., $(8, 6)$ means $x=8, y=6$).