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Real numbers a and b satisfy

a + ab = 250

a - ab = -240

Enter all possible values of a, separated by commas.

 May 15, 2023
 #1
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a = 3, b = -7

 May 15, 2023
 #2
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a + ab = 250,   

a - ab = -240

Add the 2 equations together:

 

2a == 10

a ==10 / 2 ==5

 

Sub the value of a in the first equation:

5 + 5b ==250

5b ==250 - 5 ==245

b==245 / 5 ==49

 

So, the values of a, b==(5, 49)

 May 15, 2023

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