Substitute the expression for y in the second equation into the first equation and solve for x:
4x + 3(-1/3x + 6) = 36
4x - x + 18 = 36
3x = 18
x = 6
Now substitute x = 6 into the second equation to solve for y:
y = (-1/3)(6) + 6
y = 4
Therefore, the solution to the system of equations is the ordered pair (6, 4).