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Real numbers x and y satisfy

x + xy = 250y

x - xy = -240y

 

Enter all possible values of y, separated by commas.

 Aug 8, 2021
 #1
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Add the 2 equations ==> 2x = 10y ====> x = 5y ===> substitute this into first equation

5y + 5y^2 = 250y

5y^2 = 245y

y^2 = 49y

y = 49

I think 'y' only equals 49...anyone else??

 Aug 9, 2021

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