Please begin with the definition of E and show the \bar{v}=\bar{v}^{I D}+\bar{v}^{E} From the definition of an Ideal Solution, please show that \bar{v}^{I D}=x_{1} \bar{v}_{1}+x_{2} \bar{v}_{2} Eliminate x2 in favor of x1. \bar{v}^{I D}=x_{1}\left(\bar{v}_{1}-\bar{v}_{2}\right)+\bar{v}_{2} Use this result to eliminate v10 in the first equation. Then take the derivative of w.r.t. xj.

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