I'm having trouble solving a problem with the circuit below. I am supposed to find Va, Vb and Vc through nodal analysis.

I got to these three equations (in the picture, where it says that R3 = 0.333..., it is supposed to be R3 = 1/3):

(Va-Vc)/0.5 + (Va-Vb)/0.5 +2 = 0;

(Vb-Va)/0.5 + Vb/0.25 + (Vc-Va)/0.5 + Vc/(1/3) = 0;

Vc-Va = 3;

I can't get to the correct values I got on the simulation. Is it a problem with the KCL equations? Thank you.