Question 1117635
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There is nothing easier than that.


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1.  Take the derivative with respect to x and equate it to zero. You will get

    2x + 3y = 1.   (1)



2.  Take the derivative with respect to y and equate it to zero. You will get

    3x - 2y = -2.   (2)



3.  Solve the system of two linear equations (1) and (2) to get the answer

    x = {{{-4/13}}},  y = {{{7/13}}}.
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You just are Calculus, correct ?


Should I explain to the person taking Calculus, how to solve a 2x2-system of linear equations ?