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if alpha = 1, there is an unqiue solution. x + (alpha)y = 3

2x + y = 3

then what value(s) of alpha will make the system returns no solution?

and what can we do to make this system infinite solution (if we only change the value of [3 3])

I don't know how to determine whether a system has unique / no / or infinite solution.

Thanks for any help.

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# System equations - unique / no / infinite solution

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