How do you solve pipe dimensions?

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1 and 1/2 inches.Depending on the piping diameter one normally would figure for a 1/2" pipe 1/2 for threads

to minimize velocity of flow in suction pipe line then minimize friction losses

by gradually heating it

I guess you mean simultaneous equations. There are three methods of solving these equations: graphing if the variables are x and y (though this is only an approximate method and should be avoided...