d) Which line segment on the Connecticut graph has a positive slope? How can this be explained in the context of this problem? 2006–2007; the number of veterans living in Connecticut increased from 2006 to 2007. Solve each system using a graphing calculator. 57) y 2x 2 58) y x 1 y x 7 (3, 4) y 3x 3 (1, 0) 59) x y 3 60) 2x 3y 3 x 4y 8 (4, 1) y x 4 (3, 1) 61) 4x 5y 17 62) 5x 6y 22.8 3x 7y 4.45 3x 2y 5.2 (2.25, 1.6) (1.8, 5.3) a) In which year were there approximately 7,000 fewer veterans living in Connecticut than in Nevada? Approximately how many were living in each state? 2009; CT: 238,000, NV: 245,000 b) Write the data point for Nevada in 2006 as an ordered pair of the form (year, number) and explain its meaning. (2006, 244,000); in 2006, there were about 244,000 veterans living in Nevada. c) Write the point of intersection of the graphs for the year 2008 as an ordered pair in the form (year, number) and explain its meaning. (2008, 246,000); in 2008, Connecticut and Nevada each had a veteran population of about 246,000. R3) What is the solution to a system of linear equations when the two lines are parallel? R4) Which objective is the most diffi cult for you? R1) What are you really looking for when you solve a system of linear equations? R2) What happens when you graph a system of linear equations that has an infi nite number of solutions? 4.2 Solving Systems by the Substitution Method What are your objectives for Section 4.2? How can you accomplish each objective? 1 Solve a Linear System by Substitution • Write the procedure for Solving a System by the Substitution Method in your own words. • Complete the given examples on your own. • Complete You Try 1. 2 Solve a System Containing Fractions or Decimals • Add steps for eliminating fractions or decimals to the procedure you wrote for Objective 1. • Complete the given example on your own. • Complete You Try 2. 3 Solve a System by Substitution: Special Cases • Know that not every system will have one solution, and review Section 4.1 to see the different types of systems. • Complete the given examples on your own. • Complete You Try 3. 254 CHAPTER 4 Linear Equations and Inequalities in Two Variables www.mhhe.com/messersmith
messersmith_power_introductory_algebra_1e_ch4_7_10
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