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Applying Linear Systems

Applying Linear Systems. Math 8: Unit 3 Mrs. Tyrpak. Solve graphically and algebraically.

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Applying Linear Systems

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  1. Applying Linear Systems Math 8: Unit 3 Mrs. Tyrpak

  2. Solve graphically and algebraically Tickets for a concert are $40 for main-floor seats and $25 for upper-level seats. A total of 2000 concert tickets were sold. The ticket sales were $62,000. Let m represent the number of main-floor tickets and u the number of upper-level tickets.

  3. Step 1: Write equations • Write an equation about the total number of tickets sold. • Write an equation about the ticket sales.

  4. Step 2: Solve Solve the system to find how many main-floor tickets were sold and how many upper-level tickets were sold.

  5. Problem #2 Jan invested some money at 7% interest and $500 more than that at 9% interest. The total interest earned in 1 year was $141. How much did she invest at each rate? Solve algebraically.

  6. Step #1: Write equations 1. 2.

  7. Step #2: Solve system

  8. Keep up the GREAT work! Don’t forget to complete your practice and application worksheets. We are beginning to work more algebraically so check your work when possible 

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