Help with LinearProgramming

Hi everybody, I have the next question, if I want convert the expression of the comand Maximize

Maximize[{3 x + 4 y, 2 x + y <= 6 && 2 x + 3 y <= 9}, {x, 
  y}, Integers]

To command LinearProgramming so

LinearProgramming[{3, 4}, {{2, 1}, {2, 3}}, {{6, -1}, {9, -1}}]

I get the error, since they are not the same result, right, is turned the Maximize command, I hope any comment

LinearProgramming[ c, m, b] finds a vector x that minimizes the quantity c*x subject to the constraints m.x >= b and x >= 0.

Hi Frank, I did, see my sample,

LinearProgramming[{-3, -4}, {{2, 1}, {2, 
   3}}, {{6, -1}, {9, -1}}, 0, Integers]

This is the same result with Maximize command, I will work in this for more time.