Real numbers a and b satisfy

a + ab = 250

a - ab = -240

Enter all possible values of a, separated by commas.

Rangcr897 Jul 21, 2024

#1**+1 **

We could isolate a from the first equation and get \(a=\frac{250}{1+b}\) before plugging it into the second equation, but let's do something simpler.

Adding the first and the secone equation, we get

\(2a=10\\ a=5\)

Plugging this in for b, we get

\(a=5,\:b=49\)

So, our final answer is 5.

Thanks! :)

*1200 points

NotThatSmart Jul 21, 2024

#2**+1 **

(a + ab) + (a - ab) ==> 250 + (-240)

2a ==> 10

a=5

solve it from here by plugging in a=5 into the equation.

breadstickim01 Jul 22, 2024