Q:

The product of twice a number and six is the same as the difference of eleven times the number and 1/4 fine the number

Accepted Solution

A:
Answer:x= -1/4Step-by-step explanation:suppose ,The  number is xnow, twice a number = 2 . x = 2xThe product of twice a number and six = 2x . 6 = 12x   [ "product" means the result of multiplication]Then,Eleven times the number = 11 . x = 11xThe difference of eleven times the number and 1/4 = 11x - 1/4                                                                                        =  (44x-1)/4Hence,  12x = (44x-1)/4=>48x = 44x-1        [multiplied by 4 on both sides]     =>48x-44x=-1         [subtract 44x on both sides]    =>4x=-1                   [divide both sides by 4]   =>x= -1/4