Solve the following system algebraically: 
Definitions:
Significance Level
The threshold at which a hypothesis test concludes a result is statistically significant, typically denoted by alpha (α).
Cholesterol Level
A measure of the total amount of cholesterol in the blood, including both high-density and low-density lipoprotein cholesterol.
National Average
The arithmetic mean or median of certain measurements or statistics considered across a whole nation.
One-sample T-test
A statistical test used to compare the mean value of a sample to a known value (usually the population mean) to see if there are significant differences.
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