13-16 · Eliminating a Variable Perform an operation on the given system that eliminates the indicated variable. Write the new equivalent system. 3x + y + z = 4 -x + y + 2z = 0 -5x + 2y – 3z = 3 13. 14. 10x - 3y + : = -20 x- 2y - : = -1 -x + 3y + z = 8 Eliminate the x-term from the second equation. Eliminate the x-term from the second equation. (2x + y - 3z = 5 15. (2x + 3y + : = 13 x - 3y + 2: = -1 16. y + : = -1 (6x - 5y - : = 7 2y - z = Eliminate the x-term Eliminate the y-term from the third equation. from the third equation.

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter5: Systems Of Equations And Inequalities
Section5.2: Systems Of Linear Equations In Several Variables
Problem 13E: Eliminating a variable Perform an operation on the given system that eliminates the indicated...
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13-16 · Eliminating a Variable Perform an operation on the
given system that eliminates the indicated variable. Write the new
equivalent system.
3x + y + z = 4
-x + y + 2z = 0
-5x + 2y – 3z =
3
13.
14.
10x - 3y + : = -20
x- 2y - : = -1
-x + 3y + z =
8
Eliminate the x-term
from the second equation.
Eliminate the x-term
from the second equation.
(2x + y - 3z = 5
15. (2x + 3y + : = 13
x - 3y + 2: = -1
16.
y + : = -1
(6x - 5y - : = 7
2y - z =
Eliminate the x-term
Eliminate the y-term
from the third equation.
from the third equation.
Transcribed Image Text:13-16 · Eliminating a Variable Perform an operation on the given system that eliminates the indicated variable. Write the new equivalent system. 3x + y + z = 4 -x + y + 2z = 0 -5x + 2y – 3z = 3 13. 14. 10x - 3y + : = -20 x- 2y - : = -1 -x + 3y + z = 8 Eliminate the x-term from the second equation. Eliminate the x-term from the second equation. (2x + y - 3z = 5 15. (2x + 3y + : = 13 x - 3y + 2: = -1 16. y + : = -1 (6x - 5y - : = 7 2y - z = Eliminate the x-term Eliminate the y-term from the third equation. from the third equation.
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