+0  
 
0
41
1
avatar

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*}

Guest Oct 24, 2017
Sort: 

1+0 Answers

 #1
avatar+78762 
+2

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

CPhill  Oct 24, 2017

6 Online Users

avatar
avatar
We use cookies to personalise content and ads, to provide social media features and to analyse our traffic. We also share information about your use of our site with our social media, advertising and analytics partners.  See details