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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.

off-topic
Guest Mar 16, 2018
edited by Guest  Mar 16, 2018
 #1
avatar+86859 
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4x + ay  = -8

2x + y  =  b

 

Multiply the second equatiion by 2   all the way through

 

4x + ay  = -8

4x + 2y  = 2b

 

 

This system will have infinite solutions  when  the   equations  are exactly the same......so....for this to happen    ⇒

 

a  =  2      and   b  =  -4

 

 

cool cool cool

CPhill  Mar 16, 2018

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