White pants - girls I need help!?

I have this really cute pair of white linen shorts. But you can see my undies! Is this OK. I mean, I guess I don't really mind. But, like you can tell I am wearing a black bikini. Is this OK. I mean, how do I not show my undies. i love these pants, but they are kinda thin. Girls help! what should I do. Wear a thong?