314 Chapter 3 Systems of Linear Equations and Inequalities For Exercises 61–64, solve the system by using the Gauss-Jordan method. 61. 62. x y 3 4x 3y 6 63. 64. x y 1 12x 5y 6 x y z 4 x y z 4 2x y 2z 9 2x y 3z 8 x 2y z 5 2x 2y z 9 Chapter 3 Test 1. Determine if the ordered pair is a solution to the system. 4x 3y 5 12x 2y 7 For Exercises 2–4, match each figure with the appropriate description, a, b, or c. a. The system is consistent. The equations are dependent. There are infinitely many solutions. b. The system is consistent. The equations are independent. There is one solution. c. The system is inconsistent. The equations are independent. There is no solution. 2. 3. 114 , 22 x y x y 4. x y 5 4 y 1 54 3 1 2 3 4 5 21 1 2 3 4 5 x 3 2 5. Solve the system by graphing. 4x 2y 4 3x y 7 6. Solve the system by graphing. f1x2 x 3 5 4 y 1 21 1 7. Solve the system by using the substitution method. 3x 5y 13 y x 9 8. Solve the system by using the addition method. 6x 8y 5 For Exercises 9–13, solve the system. 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. 9. 10. 9y 2x 27 3x 5y 7 18x 30y 42 7y 5x 21 3x 2y 1 g1x2 3 2 x 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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