If a + 1/y = 2, y + 1/z = 2, find the value of (z + 1/x + 2).

Let x = 1 , y = 1 and z = 1

These values are satisfying the equations,

so, (z + \(\frac{1}{x}\) + 2) =  1 + \(\frac{1}{1}\) + 2  = 4