Solving Linear Systems

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Presentation transcript:

Solving Linear Systems Solve the system: y = x – 2 y = -2x + 7 Group 1 - 3 use graphing Group 3 – 6 use elimination Group 7 and 8 use substitution (3,1)

Solving Linear Systems Solve the system: y = -x + 3 y = 3/2x – 2 Group 1 - 3 use elimination Group 3 – 6 use substitution Group 7 and 8 use graphing (2,1)

Solving Linear Systems Solve the system: 2x + 4y = 12 x + y = 2 Group 1 - 3 use substitution Group 3 – 6 use graphing Group 7 and 8 use elimination (-2, 4)

Solving Linear Systems Solve the system: 3 = 4y + x 4y = -x + 3 Use any method! Infinite Solutions Dependent System

Solving Linear Systems Solve the system: 3x = -5y + 4 250 + 150x = 300y Use any method! (-1/33, 9/11)

Solving Linear Systems Solve the system: 7x – y = 6 -7x + y = -6 Use any method! Infinite Solutions Dependent

Solving Linear Systems Solve the system: x = -3 y = 5 Use any method! (-3, 5)

Solving Linear Systems Solve the system: -3x + y = 4 x – 1/3y = 1 Use any method! Inconsistent

Solving Linear Systems Find the linear models for each set of data. In what year will the two quantities be equal?

Solving Linear Systems Find the linear models for each set of data. In what year will the two quantities be equal?

Solving Linear Systems You and a friend are both reading a book. You read 2 pages each minute and have already read 55 pages. Your friend reads 3 pages each minute and has already read 35 pages. Solve the system of equations to find when the two of you will have read the same number of pages.

Solving Linear Systems Jenny’s Bakery sells carrot muffins at $2 each. The electricity to run the oven is $120 per day and the cost of making carrot muffins is $1.40. How many muffins need to be sold each day to break even?

Solving Linear Systems A student has some $1 bills and some $5 bills in his wallet. He has a total of 15 bills that are worth $47. How many of each type of bill does he have?

Solving Linear Systems A student took 60 minutes to answer a combination of 20 mulitple-choice and extended response questions. She took 2 minutes to answer each multiple choice question (m) and 6 minutes to answer each extended response question (r). How many of each type of question was on the test?

Solving Linear Systems A scientist wants to make 6 milliliters of a 30% sulfuric acid solution. The solution is make from a combination of a 20% sulfuric acid solution and a 50% sulfuric acid solution. How many milliliters of each solution must be combined to make the 30% solution?

Solving Linear Systems The equation 3x – 4y = 2 and which equation below form a system with no solutions? 2y = 1.5x – 2 b. 3x + 4y = 2 c. 2y = 1.5x – 1 d. 4y – 3x = -2