SOLUTION: Given that -3 <= 7x + 2y <= 3$ and -4 <= y - x <= 4, what is the maximum possible value of x + y?

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Question 1016784: Given that -3 <= 7x + 2y <= 3$ and -4 <= y - x <= 4, what is the maximum possible value of x + y?
Answer by robertb(5830)   (Show Source): You can put this solution on YOUR website!
Multiply the first inequality by 2/3, and the second inequality by 5/3.

==> <--(A)


==> <--(B)
Add inequalities A and B:, to get

Divide both sides by 3, to get
Therefore the maximum value of x+y is 26/9

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