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Show that if (a, b) is close to (1,1) then there exists a couple (x, y) = R such that [left{begin{array}{ y+e^{x y}=a

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Show that if (a, b) is close to (1,1) then there exists a couple (x, y) = R such that \[\left\{\begin{array}{ y+e^{x y}=a \\ x+e^{-x y}=b. \end{array} ight. \]

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