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Question: isolve does not return all solutions

Question:isolve does not return all solutions

frax520l 35 Maple
isolve
June 23 2024
1

I'm trying to replicate this video: https://www.youtube.com/watch?app=desktop&v=EUVPsxYIauo

Note that the variables a, b, c are integers.

Here is my Maple worksheet:

restart;
eq1 := a*b + c = 2020;
                     eq1 := a b + c = 2020

eq2 := b*c + a = 2021;
                     eq2 := b c + a = 2021

sol1 := isolve({eq1, eq2});
              sol1 := {a = 2021, b = 0, c = 2020}

However, there is another solution {a = 673, b = 2, c = 674}. Why does isolve not find the second solution? I tried 'allvalues', but it did not work.
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