For alloys of two hypothetical metals A and B, there exist an α, A-rich phase and a β, B-rich phase. From the mass fractions of both phases for two different alloys provided in the following table (which are at the same temperature), determine the composition of the phase boundary (or solubility limit) for both α and β phases at this temperature.
AlloyComposition70 wt% A–30 wt% B35 wt% A–65 wt% BFractionα Phase0.780.36Fractionβ Phase0.220.64