It really depends on the equations. Not a math expert here, but if i recall my highschool days, if they are of the same magnitude, you should be able to refactor that into a single formula.
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If you can translate each set of curves into a three column table (Temperature, Pressure, <whatever your third variable is>), then I think you could apply the new bi-linear interpolation feature in AF. Otherwise, I think you'll have to use a series of analyses to calculate the result for the given pressure at the two closest temperature curves and then do the linear interpolation with another equation. Please let us know what you think.
I agree with Brent, I think using bi-linear interpolation is the approach for this. This is a new feature of AF 2018. If you have an older version of AF and you can't upgrade, can you share a little more details on what your equation is, and how the table is configured?