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miller_intermediate_algebra_4e_ch1_3

Ax By Cz D, 14, 72 113 5x 3y 1 4x 2y 2 2x 5y 3 4x 10y 3 3x y 4 4x y 5 11, 1, 32, 10, 0, 42, 14, 2, 12 7. Which of the following points are solutions to 8. Which of the following points are solutions to the system? 3x 3y 6z 24 9x 6y 3z 45 9x 3y 9z 33 10. Which of the following points are solutions to the system? 10, 4, 32, 13, 6, 102, 13, 3, 12 x 2y z 5 x 3y z 5 2x y z 4 the system? 12, 1, 72, 13, 10, 62, 14, 0, 22 2x y z 10 4x 2y 3z 10 x 3y 2z 8 9. Which of the following points are solutions to the system? 112, 2, 22, 14, 2, 12, 11, 1, 12 x y 4z 6 x 3y z 1 4x y z 4 Concept 2: Solving Systems of Linear Equations in Three Variables For Exercises 11–22, solve the system of equations. (See Example 1.) 11. 12. 13. 14. 15. 16. y 2x z 1 3x 1 2y 2z 5x 3z 16 3y 4x 2z 12 3y 2y 3x 3z 5 y 2x 7z 8 6x 5y z 7 5x 3y 2z 0 2x y 3z 11 x 3y 4z 7 5x 2y 2z 1 4x y 5z 6 3x 2y 4z 15 2x 5y 3z 3 4x y 7z 15 2x y 3z 12 3x 2y z 3 x 5y 2z 3 290 Chapter 3 Systems of Linear Equations and Inequalities Section 3.6 Practice Exercises Vocabulary and Key Concepts 1. a. An equation written in the form where A, B, and C are not all zero, is called a equation in three variables. b. Solutions to a linear equation in three variables are of the form (x, y, z) and are called . Review Exercises 2. Determine if the ordered pair is a solution to the system. For Exercises 3–4, solve the systems by using two methods: (a) the substitution method and (b) the addition method. 3. 4. 5. Marge can ride her bike 24 mi in hr riding with the wind. Riding against the wind she can ride 24 mi in 2 hr. Find the speed at which Marge can ride in still air and the speed of the wind. Concept 1: Solutions to Systems of Linear Equations in Three Variables 6. How many solutions are possible when solving a system of three equations with three variables?


miller_intermediate_algebra_4e_ch1_3
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