Four hundred fifty gallons of 88-octane gasoline is obtained by mixing 87-octane gasoline with 92-octane gasoline.
(a) Write a system of equations in which one equation represents the total amount of final mixture required and the other represents the amounts of 87- and 92-octane gasoline in the final mixture. Let x and y represent the numbers of gallons of 87-octane and 92-octane gasolines, respectively.