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For what ordered pair $(a,b)$ are there infinite solutions $(x,y)$ to the system \begin{align*} 2ax+2y&=b,\\ 5x+y&=-3. \end{align*}

 Oct 24, 2017
 #1
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2ax+2y=b 

5x+ y=  -3   ⇒  10x + 2y  = -6

 

So.....we will have infinite solutions when

 

2a  = 10    ⇒ a = 5

And

b = -6

 

So  { a, b}  = { 5, -6 }

 

 

cool cool cool

 Oct 24, 2017

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