If you have symbolic toolbox, you can use solve() function
syms x y a b
eq = [1 1;x y;x^2 y^2;x^3 y^3]*[a;b]==[2;0;2/3;0];
sol = solve(eq);
The system have two solutions. sol is a struct. You can access the solution like this
>> sol.x
ans =
3^(1/2)/3
-3^(1/2)/3
>> sol.y
ans =
-3^(1/2)/3
3^(1/2)/3
>> sol.a
ans =
1
1
>> sol.b
ans =
1
1
Best Answer