Solve the system 1/2x+2/3y=1 3/4x-1/3y=3

1/2x+2/3y=1 (1st)
3/4x-1/3y=3  (2nd)

multiply 6 to (1st) equation and 12 to the (2nd) equation

3x + 4y = 6
9x - 4y = 36
------------------add
12x = 42
    x = 3.5

3(3.5) + 4y = 6
10.5 + 4y = 6
4y = - 4.5
  y = -1.125

answer
solution (3.5 , - 1.125)