Solve the system of equations algebraically for real values of 
and 
. 
Definitions:
Alternative Technologies
Different methods or processes available for producing goods and services, often considered in the context of replacing or improving current production techniques.
Total Product
The total output or production by a company during a specific period of time.
Average Product
Average Product is the output per unit of input, calculated by dividing total product by the quantity of the input.
Marginal Product
The additional output that is produced by adding one more unit of a specific input, while holding other inputs constant.
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