Suppose the civilian non-institutional population equals 100,000 persons; the civilian labor force equals 75,000 persons; there are 70,000 employed persons and 5,000 unemployed persons. If 5,000 persons who are currently "not in the labor force" decide to join the civilian labor force, and 3,000 of them are unemployed, then

the total labor force for the first part of the question = 75,000 and 5,000 are unemployed, therefore, the unemployment rate = 6.67%

if 5,000 more people enter the labor force, then the total labor force = 80,000 people. Out of the total, 8,000 are unemployed, therefore, total unemployment = 8,000 / 80,000 = 10%

on the other hand, the employment rate = total employed /  total population will also increase. The original employment rate = 70,000 / 100,000 = 70%

Then as 2,000 more people were employed, the employment rate increased to 72,000 / 100,000 = 72%

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