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

 Jul 30, 2022
 #1
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3ax + 3y   =  5b

2x + y = 5   multiply through by 3  →  6x + 3y  = 15

 

To have infinite solutions the equations must be the same ......this implies that

 

3a =  6         and           5b  = 15  

a  =   2                              b =  3

 

 

cool cool cool

 Jul 30, 2022

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