Do Now A vendor sold 200 tickets for an upcoming rock concert. Floor seats were $36 and stadium seats were $28. The vendor sold $6080 in tickets. How many.

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Presentation transcript:

Do Now A vendor sold 200 tickets for an upcoming rock concert. Floor seats were $36 and stadium seats were $28. The vendor sold $6080 in tickets. How many $36 and $28 tickets were sold?

Algebra II Elements 3.3: Solving Linear Systems Using Elimination HW: p (22-36 even) Test , 4.3: Tues, 12/17

Steps 1.) Change equation(s) so that you have opposite coefficients for one of the variables. 2.) Add equations straight down. Solve. 3.) Take value of the variable from step 2 and plug into any equation. Solve. 4.) Final answer is the coordinate (x, y).

Solve the system using elimination 1.) x – y = 7 2x + y = 5 2x + y = 5

Solve the system using elimination 2.) x + 2y = -11 3x – 2y = -1 3x – 2y = -1

Solve the system using elimination 3.) 3x – y = 4 2x + 3y = 32 2x + 3y = 32

Do Now Resort A charges $70 per night, plus a one-time surcharge of $5. Resort B charges $65 per night, plus a one-time surcharge of $20. After how many nights will the total cost of the two options be the same?

Solve the system using elimination 4.) 2x + 5y = 0 4x + 6y = 24 4x + 6y = 24

Solve the system using elimination 5.) 3x – 4y = -4 -5x + 2y = 2 -5x + 2y = 2