37) 2x 3y 3 38) y 5 2 x 3 y 2 3 x 1 10x 4y 12 Solve each system using a graphing calculator. 39) 8x 6y 7 40) 4x 3y 9 4x 16y 3 2x y 2 (1.25, 0.5) (7.5, 13) Solve each system by graphing. 33) y 1 2 x 1 (2, 2) 34) x y 3 (1, 2) x y 4 y 3x 1 35) x y 0 (4, 4) 36) 2y x 6 (2, 4) x 2y 12 y 2x R3) Which method of solving systems do you prefer? Why? R4) How will choosing the most effi cient way to solve a system help you on a test? R1) What are the advantages and disadvantages of each method for solving a system of equations? R2) Which characteristics of the equations in a system will help you determine whether you will solve a system by substitution or by elimination? 4.4 Applications of Systems of Two Equations What are your objectives for Section 4.4? How can you accomplish each objective? 1 Solve Problems Involving General Quantities • Understand the procedure for Solving an Applied Problem Using a System of Equations, and write it in your own words. • Complete the given example on your own. • Complete You Try 1. 2 Solve Geometry Problems • Review geometry formulas, if necessary, given in Section 1.3. • Complete the given example on your own. • Complete You Try 2. 3 Solve Problems Involving Cost • Complete the given example on your own. • Complete You Try 3. 4 Solve Mixture Problems • Complete the given example on your own. • Complete You Try 4. 5 Solve Distance, Rate, and Time Problems • Complete the given example on your own. • Complete You Try 5. Read the explanations, follow the examples, take notes, and complete the You Trys. www.mhhe.com/messersmith SECTION 4.4 Applications of Systems of Two Equations 273
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