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Find the value of x,y that maximize. -2x^2 - 2xy -7/2y^2 +x+9y. Subject to the constraint x+y-13/2=0 Please show all work and write clearly

Find the value of x,y that maximize. -2x^2 - 2xy -7/2y^2 +x+9y. Subject to the constraint x+y-13/2=0

Please show all work and write clearly

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