310 Chapter 3 Systems of Linear Equations and Inequalities Chapter 3 Review Exercises Section 3.1 1. Determine if the ordered pair is a solution to the system. 5x 7y 4 a. (2, 2) b. (2,2) For Exercises 2–4, answer true or false. 2. An inconsistent system has one solution. 3. Parallel lines form an inconsistent system. 4. Lines with different slopes intersect in one point. For Exercises 5–8, solve the system by graphing. For systems that do not have one unique solution, also state the number of solutions and whether the system is inconsistent or the equations are dependent. 5. f 1x2 x 1 g 1x2 2x 4 y 1 2 x 1 6. y 2x 7 y x 5 7. 6x 2y 4 3x y 2 8. y 12 x 2 4x 8y 8 5 4 y 1 21 1 Section 3.2 For Exercises 9–14, solve the system by using the substitution method. For systems that do not have one unique solution, also state the number of solutions and whether the system is inconsistent or the equations are dependent. 3 4 9. 10. y 6x y 5 5x y 3 x 4 x 2y 6 21x y2 3x 11y 9 10 3y 11. 12. y 3 11 x 6 11 0.4x y 1.2 6015x y2 4x y 7 90 13. 14. x 1 4 y 7 4 10x 2y 3 15. The cost y (in $) to rent a 5-ft by 5-ft storage space for x months is given for two companies. Company A: y 105 45x Company B: y 48.50x Determine the number of months for which the cost of renting a storage space would be the same for either company. 16. The cost y (in $) to rent a car for x days is given for two rental car companies. Company A: y 44 81.50x Company B: y 87x Determine the number of days for which the cost of renting a car would be the same for each company. 5 4 y 1 21 1 5 4 y 1 54 3 1 2 3 4 5 21 1 2 3 4 5 x 3 2 5 4 y 1 54 3 1 2 3 4 5 21 1 2 3 4 5 x 3 2 54 3 1 2 3 4 5 2 3 4 5 x 3 2 54 3 1 2 3 4 5 2 3 4 5 x 3 2
miller_intermediate_algebra_4e_ch1_3
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