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 one year ago
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 one year ago
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wio
 one year ago
Best ResponseYou've already chosen the best response.1So \(x \in \{1, 2, 3\}\) and \(y\in \{1, 2, 3, 4, 5, 6, 7\}\). You want to find every pair that fits the equality \(2x+y=7\).

wio
 one year ago
Best ResponseYou've already chosen the best response.1I would start by making \(y\) a function of \(x\). So we have \(y(x) = 2x+7\). I would then plug in each possible \(x\).

wio
 one year ago
Best ResponseYou've already chosen the best response.1\[ x=1 \implies y = 5 \\ x=2 \implies y = 3 \\ x=3 \implies y = 1 \]So the answers we get is: \[F = \{(1, 5), (2,3), (3,1)\}\]

wio
 one year ago
Best ResponseYou've already chosen the best response.1A general heuristic I can see being useful is to make the larger set be a function of the smaller set, because you have to do less plugging stuff in.

minnie123
 one year ago
Best ResponseYou've already chosen the best response.0Okay thanks my internet connection sucks so it took me long to see this and respond to you... :)
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