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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.

 Dec 18, 2021
 #1
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0

x + xy = 250y

x - xy = -240y            add the two equations together

 

2x = 10y

x = 5y

 

5y + 5y * y = 250y

5y^2 - 245y = 0

5y ( y - 49) = 0       y = 0   y = 49

 Dec 18, 2021

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