Hello @Smit_Shah1,
You need to derive the formulae out, even though I admit that your guesses for w_1 and w_2 are quite close and should have some reasons behind.
Look, whether you will have the right formulae depends on you because I have no intention to derive them as I do not need them.
Feel free to share your steps of deviations based on the equations that I have laid out in my last post, and we can look at your steps together. Here is one example for your reference.
Cheers,
Raymond