# Solve the system of linear equations by substitution

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Alice's Restaurant has a total of 205 seats. The number of seats in the non-smoking section is 73 more than twice the number of seats in the smoking section. How many seats are in each section? Please show work.

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##### Solution Summary

It shows how to set up the system to linear equations of the word problem. It then solves the system by substitution.

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Let x be the number of seats in the non-smoking section.

y be the number of the seats in the smoking section.

Alice's Restaurant has a total of 205 seats:

x + y ...

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