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For what ordered pair $(a,b)$ are there infinite solutions $(x,y)$ to the system\begin{align*} 4x+ay&=-8,\\ 2x+y&=b. \end{align*}

 Jun 1, 2021
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4x  + ay  =  - 8

2x  + y  =   b     ⇒   4x  + 2y   =  2b

 

If a  =  2   and   b  =  -4    the  equations will  be identical  and the  system will have infinite solutions

 

So     (a, b)   =   ( 2, - 4)

 

 

cool cool cool

 Jun 1, 2021

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