SOLUTION: If x and y satisfy the simultaneous equations {{{ 16^x-16^y= 64512 }}} and {{{ 4^x-4^y= 224 }}}, find the sum of x and y.

Question 900731: If x and y satisfy the simultaneous equations and , find the sum of x and y.
Answer by Edwin McCravy(20060) (Show Source): You can put this solution on YOUR website!



, and since 







, and since 





Now we have the system:



Adding the two equations:









Substituting in 







, since  and 









So 

Edwin

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