If x and y satisfy simul†an eously the equations {(2x)}^{\log2} ={(3y)}^{\log3 } and 3^{\log x} =2^{\log y} then the value of (x^{-1}+y^{-1}) is 4. (True or False)

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State true or false.
If x $\neq$ y, (x,y) $\neq$ (y,x) and if (x,y) = (y,x) then x = y.

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