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Find the minimal non-negative integer $s$ such that at least one of the following conditions holds for all non-negative integers $x,y$: $x \leq s$; $y<s$; $5x + 4y \not\equiv 63$.

The answer is 7 but I don't know how to get there, someone please help me

asked Apr 29 '21 at 23:10

yellow

2

What have you tried? EG Since you "know" the answer is 7, have you shown that the answer cannot be 6? – Calvin Lin Apr 29 '21 at 23:13
@CalvinLin I have thought that it can be solved in matlab with the fmincon function but I get an error. and it is supposed to be done as if we did not know that the answer is 7 – yellow Apr 29 '21 at 23:25
Consider $(63) \div (4 + 5).$ – user2661923 Apr 30 '21 at 00:50

Find the minimal non-negative integer $s$ such that: $x \leq s$; $y

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