If 72^ x 48^ y =6^ x y , where x and y are nonzero rational numbers, then x + y equals

Step-by-step solution

72^ x 48^ y =6^ xy 3^ 2 x +y 2^ 3 x +4 y =2^ xy 3^ xy compare 2 x+y=x y .........(i) & 3 x+4 y=x y .........(ii) From (i) & (ii) x=-3 y put in (i) -5 y=-3 y² y= 5 3 so x+y=-2 y=- 10 3