Do Now: Find the solution graphically.

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Algebra II Elements

3.2:Solving Linear Systems Using Substitution HW:p.135 (18-24 ev)

Test: 3.1-3.3, 4.3 – Tues 12/17

Steps for Solving Systems Using Substitution1.) Pick an equation & isolate a

variable.2.) Plug value from step 1 into the

second equation. Solve.3.) Plug value of the variable from step

2 into any equation. Solve.4.) Final answers is a coordinate: (x, y)

3.2 B: Solve the system using substitution1.) x + 2y = 6

3x – 2y = 2

3.2 B: Solve the system using substitution2.) 4x + y = 7

2x + 5y = -1

3.2 B: Solve the system using substitution3.) x + 3y = 3 2x – 4y = 6

3.2 B: Solve the system using substitution4.) 2x – 3y = 3 -2x + y = -4

3.2 B: Solve the system using substitution5.) 2x – 5y = 9 -3x + y = -7

A class trip costs $35 per ticket. Some students receive a discount for volunteer work. The discounted tickets cost $21.50 per ticket. If 314 tickets are sold and $10,072 is collected, how many of each ticket was sold for the trip?

3.2 B: Solve the system using substitution6.) 8x + 2y = 2 7.) 3x +

2y = -2 x + 3y = 14 6x – y = 6

3.2 B: Solve the system using substitution8.) -3x + 4y = 1 9.) 6x + 2y =

11 x – 2y = 1 4x + y = 6