CHAPTER_4_SYSTEMS_OF_LINEAR_EQUATIONS_4.1-4.3

# CHAPTER_4_SYSTEMS_OF_LINEAR_EQUATIONS_4.1-4.3 - CHAPTER 4...

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−10 −8 −6 −4 −2 2 4 6 8 10 −10 −8 −6 −4 −2 2 4 6 8 10 CHAPTER 4 SYSTEMS OF LINEAR EQUATIONS; MATRICES LESSON 4-1 REVIEW OF SYSTEMS OF LINEAR EQUATIONS IN TWO VARIABLES Definition of linear system in 2 variables: Methods of solving a linear system: 1) 2) 3) 4) Example of Graphing Method: 3x – 2y = 12 7x + 2y = 8 Check:

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LESSON 4-1 pg. 2 Examples of Substitution Method: a) y = x - 4 Check: x + 3y = 12 b) 2x + 3y = 1 Check: 3x - y = 7 Examples of Elimination Method: a) 7m + 12n = -1 Check: 5m 3n = 7 b) 3x 6y = 36 Check: -2x + 5y = -31 c) x + y = 1 Check: 0.5x - 0.4y = 0
LESSON 4-1 pg. 3 Types of Linear Systems: 1) 2) 3) Examples of different types: a) 6x – 5y = 10 -12x + 10y = -20 What does this system look like when graphed? b) 6x – 5y = 10 -12x + 10y = -2 What does this system look like when graphed?

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LESSON 4-1 pg. 4 APPLICATIONS OF LINEAR SYSTEMS: a) A theater group made appearances in two cities. The hotel charges before tax in the second city were \$1200 lower than in the first. The tax on the hotel bill was 3% in the first city and 2.5% in the second. After the trip, the total tax paid on accommodation expenses was \$228.50. How much was the hotel bill in the first city before tax? b) Suppose that the supply and demand for printed baseball caps for a particular week are: p = .4q + 3.2 (price based on supply equation) p = -1.9 q + 17 (price based on demand equation) where p is the price of hats in dollars and q is the quantity of hats in hundreds. Find the equilibrium price and quantity.
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## This note was uploaded on 11/17/2011 for the course MTH 110 taught by Professor Na during the Spring '10 term at Michigan State University.

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CHAPTER_4_SYSTEMS_OF_LINEAR_EQUATIONS_4.1-4.3 - CHAPTER 4...

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