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avatar+372 

Real numbers a and b satisfy
a + ab = 250
a - ab = -240
Enter all possible values of a, separated by commas.

 Jun 2, 2024
 #1
avatar+129487 
+1

Add the equations

 

2a = 10

a = 5

 

5 ( b + 1) = 250

b + 1 =  250 / 5

b + 1  =  50

b = 49

 

 

cool cool cool

 Jun 2, 2024
edited by CPhill  Jun 2, 2024
edited by CPhill  Jun 3, 2024
 #2
avatar+149 
+1

To cancel \(ab\) you can add the equations together:

 

 \(2a=10 \Rightarrow a=\color{blue}{\boxed{5}}\) 

 

Now plug in \(a\) into one of the equations to get:

 

\(5+5b=250 \Rightarrow 5b=245 \ \text{so} \ b=\color{blue}{\boxed{49}}\).

 

I hope that helped! smiley

 Jun 2, 2024

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