Real numbers a and b satisfy a + ab = 250 a - ab = -240

Enter all possible values of a, separated by commas.

Guest May 24, 2023

#3**+1 **

a + ab = 250

a - ab = -240

Method 1:

Add the two equations so that the ab's cancel out to get:

2a = 10

so **a = 5**

Plug into equations to check:

5 + 5b = 250

1 + b = 50

b = 49

5 - 5b = -240

1 - b = -48

b = 49

In both cases, b remains the same, therefore 5 works as an answer

Method 2:

Graphing (ðŸ’€ðŸ’€ðŸ’€)

(i was too lazy to graph by myself)

but yes, a = 5

LurpDaDerp May 25, 2023