Question 1098301
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I will guess that this means we are to find the maximum value of x+y, given the conditions
{{{-3 <= 7x+2y <= 3}}}  and  {{{-4 <= y-x <= 4}}}<br>
The feasibility region is between the lines 7x+2y=-3 and 7x+2y=3; and between the lines y-x=-4 and y-x=4.<br>
I'll let you do the ugly calculations to find the corners of the feasibility region; they are at (-11/9,25/9), (-5/9,31/9), (5/9,-31/9) and (11/9,-25/9).<br>
Clearly the maximum value of x+y is at (-5/9,31/9); the maximum value is 26/9.<br>
If your question was something completely different, resubmit it, in a format that is clearly understandable.