Real numbers a and b satisfy
a + ab = 250
a - ab = -240
Enter all possible values of a, separated by commas.
+15000 a + ab = 250
a - ab = -240
Enter all possible values
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\(a + ab = 250\\ a=\frac{250}{1+b}\\ a - ab = -240\\ \frac{250}{1+b}-\frac{250b}{1+b}=-240\\ 250-250b=-240(1+b)\\ -250b+240b=-240-250\\ -10b=-490\\ \color{blue}b=49\\ a=\frac{250}{1+49}\\ \color{blue}a=5\)
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