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Given that $-3 \le 7x + 2y \le 3$ and $-4 \le y - x \le 4$, what is the maximum possible value of $x + y$?

 Dec 11, 2017
 #1
avatar+95966 
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Look  at the graph here....

 

https://www.desmos.com/calculator/ylop9twasi

 

 x + y  is maximized at the corner point  (-5/9, 31/9)

 

So .....  the max sum is just   26/9

 

 

 

cool cool cool

 Dec 11, 2017

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