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Do Now: Find the solution graphically. 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 Substitution. 1.) Pick an equation & isolate a variable.
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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 Substitution 1.) 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 substitution 1.) x + 2y = 6 3x – 2y = 2
3.2 B: Solve the system using substitution 2.) 4x + y = 7 2x + 5y = -1
3.2 B: Solve the system using substitution 3.) x + 3y = 3 2x – 4y = 6
3.2 B: Solve the system using substitution 4.) 2x – 3y = 3 -2x + y = -4
3.2 B: Solve the system using substitution 5.) 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 substitution 6.) 8x + 2y = 2 7.) 3x + 2y = -2 x + 3y = 14 6x – y = 6
3.2 B: Solve the system using substitution 8.) -3x + 4y = 1 9.) 6x + 2y = 11 x – 2y = 1 4x + y = 6