Perform an operation on the given system that eliminates the indicated variable. Write the new equivalent system. 3. x - 7y + 2z = -1 y + z = -1 5y - z = 1 Eliminate the y-term from the third equation. x - 7y + 2z = -1 у + z = -1 6. Find the complete solution of the linear system, or show that it is inconsistent. (If the system has infinitely many solutions, 1. express your answer in terms of t, where x = x(t), y = y(t), and z = t. If there is no solution, enter NO SOLUTION.) x + y - z = 0 3z = -3 x + 2y 2x + 3y - 4z = -3 , у, 2) %3D Find the complete solution of the linear system, or show that it is inconsistent. (If the system has infinitely many solutions, 2. express your answer in terms of t, where x = x(t), y = y(t), and z = t. If there is no solution, enter NO SOLUTION.) x + 3y - 2z = 0 2x + 4z = 4 4x + 6y = 4 (х, у, г) %3D

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter6: Systems Of Linear Equations And Inequalities
Section6.5: Applying Systems Of Linear Equations
Problem 33PFA
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Perform an operation on the given system that eliminates the indicated variable. Write the new equivalent system.
8.
7y + 2z = -1
y +
z = -1
5y -
z = 1
Eliminate the y-term from the third equation.
7y
2z = -1
y
z = -1
= 6
Find the complete solution of the linear system, or show that it is inconsistent. (If the system has infinitely many solutions,
11.
express your answer in terms of t, where x = x(t), y = y(t), and z = t. If there is no solution, enter NO SOLUTION.)
x +
y
z = 0
x + 2y
2x + 3y
3z = -3
4z = -3
(х, у, 2) %3D (
Find the complete solution of the linear system, or show that it is inconsistent. (If the system has infinitely many solutions,
12.
express your answer in terms of t, where x = x(t), y = y(t), and z = t. If there is no solution, enter NO SOLUTION.)
х + 3у
2z = 0
2x
+ 4z = 4
4x + 6y
= 4
(х, у, 2) %3
Transcribed Image Text:Perform an operation on the given system that eliminates the indicated variable. Write the new equivalent system. 8. 7y + 2z = -1 y + z = -1 5y - z = 1 Eliminate the y-term from the third equation. 7y 2z = -1 y z = -1 = 6 Find the complete solution of the linear system, or show that it is inconsistent. (If the system has infinitely many solutions, 11. express your answer in terms of t, where x = x(t), y = y(t), and z = t. If there is no solution, enter NO SOLUTION.) x + y z = 0 x + 2y 2x + 3y 3z = -3 4z = -3 (х, у, 2) %3D ( Find the complete solution of the linear system, or show that it is inconsistent. (If the system has infinitely many solutions, 12. express your answer in terms of t, where x = x(t), y = y(t), and z = t. If there is no solution, enter NO SOLUTION.) х + 3у 2z = 0 2x + 4z = 4 4x + 6y = 4 (х, у, 2) %3
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