Show that the three equations in Step 4 of the box Using Lagrange Multipliers are equivalent to

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Show that the three equations in Step 4 of the box “Using Lagrange Multipliers” are equivalent to the three equations ƒx(x, y) = λgx(x, y), ƒy(x, y) = λgy(x, y), g(x, y) = 0.

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