Real numbers a and b satisfy a + ab = 250 a - ab = -240
Enter all possible values of a, separated by commas.
+24 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 (💀💀💀)
(i was too lazy to graph by myself)
but yes, a = 5
