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For what ordered pair $(a,b)$ are there infinite solutions $(x,y)$ to the system

4x+ay=-8,

 2x+y=b.

Thank youuuuuuu!!!!!

 Jul 6, 2022
 #1
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4x + ay  = 8

2x + y  =  b    

 

Multiply the second equation through by 2

 

4x + 2y  =  2b

 

To have infinite solutions to the system one equation must be a multiple of the other

 

a  = 2

 

And

 

2b = 8

b =  4

 

So

 

(a , b)  =  ( 2 , 4)

 

 

cool cool cool

 Jul 6, 2022
 #2
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shouldn't b be -4?

 Jul 6, 2022
 #3
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Nevermind, I'm wrong.

Guest Jul 6, 2022

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