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LESSON NAME _________________________________________________________ DATE ___________ 7.3 Challenge: Skills and Applications For use with pages 411–417 In Exercises 1–2, use linear combinations to solve the system of equations. Example: 5 5 1x 21y 3 1x 31y 33 Solution: Let u 1 1 and v . Substituting, the system becomes x y 5u 2v 3 5u 3v 33 1 1 By adding, you get v 6, u 3. Therefore 3 and 6 or x y 1 1 x and y . 3 6 The solution is 1. 4 1 13, 16. 1 3y 11 x 1 3y 14 10 1 x 2. 3x y3 6 8x y3 29 In Exercises 3–8, use linear combinations to solve the system of equations for x and y in terms of the other variables. Lesson 7.3 3. 5ax 3y 5 2ax 3y 11 5. 4x ay 7 2x ay 11 7. ax 2y 5 4ax 11y 8 48 Algebra 1 Chapter 7 Resource Book 4. 3x 6y 9a 5x 6y 7a 6. x by 8 4x 3by 22 8. ax 3by 12 2ax by 19 Copyright © McDougal Littell Inc. All rights reserved.