The correct option is A x=8,y=4,z=4
To balance the number of iodine atoms, HI is multiplied with 2.
Iodine is oxidized. Its oxidation state changes from −1 to 0. Net increase is +2.
Sulphur is reduced. Its oxidation state changes from 6 to −2. Net decrease is 8.
To balance the net increase and net decrease in the oxidation number, factor 4 is used. Thus, coefficients of HI and I2 are multiplied by 4.
To balance oxygen atoms, four water molecules are required on the right.
Thus, x=8, y=4 and z=4.