Let v and b represent the numbers of students transported by each v and bus, respectively.
... 1v +6b = 259 . . . . . high school A's transportation model
... 1v +2b = 91 . . . . . . . high school B's transportation model
Since the coefficients of v are the same in each equation, the variable v can be eliminated by subtracting the second equation from the first.
... 4b = 168 . . . . . . . . . the result of the subtraction
... b = 42 . . . . . . . . . . . divide by the coefficient of b
From the second equation:
... v = 91 - 2b = 91 - 84 = 7
Each van holds 7 students; each bus holds 42 students.
