Are my equations for two player zero-sum games correct?

[Jimbrisky]

I will be glad if someone can confirm if my equations for the two player zero-sum games in the question which is attached as an image are correct. I have also attached my answer. Thanks for the help.

 

[haruspex]

You have not posted what you are asked to do. I assume it is to determine their optimum strategies. You claim to have posted an answer, but to me it just looks like a recasting of the problem in alge