Equations with Two Variables: For example, with the equation $x + 2y = 20$, where $x$ represents cookies and $y$ represents sandwiches, explore solutions within a budget of Â£20.

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 $x = 4$.

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.

Solution combinations: Each point on the line represents a possible combination of cookies and sandwiches (e.g., $(x=8, y=6)$).

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