Question

please help
transform into duality:
max z = -2x[1] - x[2] + x[3]
s.t x[1] + x[2] + x[3] <= 3
x[2] + x[3] >= 2
x[1] + x[3] = 1
x[1], x[2], x[3] >= 0

Answer 1

First i do
min w = 3y[1] + 2y[2] + y[3]

Answer 2

and then i do this, but thats not complete, i need sign for every equation and i confused, please help
y[1] + y[3]
y[1] + y[2]
y[1] + y[2] + y[3]