In Exercises 29–30, solve each system for ( x , y , z ) in terms of the nonzero constants a , b , and c . 29. { a x − b y − 2 c z = 21 a x + b y + c z = 0 2 a x − b y + c z = 14
In Exercises 29–30, solve each system for ( x , y , z ) in terms of the nonzero constants a , b , and c . 29. { a x − b y − 2 c z = 21 a x + b y + c z = 0 2 a x − b y + c z = 14
Solution Summary: The author explains the steps to solve the linear systems in three variables by eliminating variables.
In Exercises 7–10, determine the values of the parameters for which the system
has a unique solution, and describe the solution.
7. 6sx1 + 4x2
5
9x + 2sx₂ = -2
=
In Exercises 15–16, solve each system using matrices.
15. (2x + y = 6
13x – 2y = 16
x - 4y + 4z = -1
2х — у + 52
16.
-x + 3y - z =
In Exercises 15–16, solve each system by eliminating variables
using the addition method.
15. [3x + 12y = 25
|2r - 6y = 12
x + 3y
-x + 2y + 3z
2х - 5у — г
16.
5
13
-8
Chapter 5 Solutions
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