If a number is multiplied by 7, the result is 182. the sum of that number's two digits is 8. define the variables and write the system of equations that would be use to find the number. then solve the system and find the number

Marquise has 200 meters of fencing to build a rectangular garden. the garden's area (in square meters) as a function of the garden's width w w (in meters) is modeled by: a ( w ) = − w 2 + 1 0 0 w a(w)=−w 2 +100w what side width will produce the maximum garden area? meters