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Systems of Equations

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  • A restaurant needs to set up 7 tables for the 34 members of a high school science club. The restaurant has tables that can seat 4 and tables that can seat 6. This system of equations represents the combination of x, the number of tables for 4, and y, the number of tables for 6, that will seat exactly 34 people. x + y = 7 4x + 6y = 34 How many tables that seat 6 should be set up?

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