6. 3x + 2y - z = 8 po -3x + 4y + 5z = -14 x- 3y + 4z = - 14 %3D

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
1st Edition
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
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Chapter5: Solving Systems Of Linear Equations
Section5.4: Solving Special Systems Of Linear Equations
Problem 31E
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Please do #6 and #20
2.4
Exercises
Dynamic Solutions:
-Vocabulary and Core Concept Check
1. VOCABULARY The solution of a system of three linear equations is exp
2. WRITING Explain how you know when a linear system in three variab
many solutions.
Monitoring Progress and Modeling with Mathem
In Exercises 3-8, solve the system using the elimination
method. (See Example 1.)
13. x+3y
x+ y
3. x+y-2z = 5
-x+ 2y + z = 2
2x + 3y- z = 9
4. x+ 4y - 6z = -1
3x + 1
2x - y+ 2z = -7
-x + 2y – 4z = 5
15. x + 2
-3x
5. 2x + y-z = 9
-x + 6y + 2z = -17
5x + 7y + z = 4
6. 3x + 2y -z 8
- 2x
- 3x + 4y + 5z = - 14
x- 3y + 4z = - 14
%3D
17. MOD
7. 2x + 2y + 5z = -1
2x - y +z 2
place
soda
of s
8. 3x + 2y - 3z = -2
7x- 2y + 5z = -14
pizza
Ho
2x + 4y - 3z = 14
2x + 4y + z = 6
00000
ERROR ANALYSIS In Exercises 9 and 10, describe and
correct the error in the first step of solving the system of
linear equations.
4x - y+ 2z = – 18
-x+ 2y + z = 11
Transcribed Image Text:2.4 Exercises Dynamic Solutions: -Vocabulary and Core Concept Check 1. VOCABULARY The solution of a system of three linear equations is exp 2. WRITING Explain how you know when a linear system in three variab many solutions. Monitoring Progress and Modeling with Mathem In Exercises 3-8, solve the system using the elimination method. (See Example 1.) 13. x+3y x+ y 3. x+y-2z = 5 -x+ 2y + z = 2 2x + 3y- z = 9 4. x+ 4y - 6z = -1 3x + 1 2x - y+ 2z = -7 -x + 2y – 4z = 5 15. x + 2 -3x 5. 2x + y-z = 9 -x + 6y + 2z = -17 5x + 7y + z = 4 6. 3x + 2y -z 8 - 2x - 3x + 4y + 5z = - 14 x- 3y + 4z = - 14 %3D 17. MOD 7. 2x + 2y + 5z = -1 2x - y +z 2 place soda of s 8. 3x + 2y - 3z = -2 7x- 2y + 5z = -14 pizza Ho 2x + 4y - 3z = 14 2x + 4y + z = 6 00000 ERROR ANALYSIS In Exercises 9 and 10, describe and correct the error in the first step of solving the system of linear equations. 4x - y+ 2z = – 18 -x+ 2y + z = 11
In Exercises 19–28, solve the system of linear equations
using the substitution method. (See Example 4.)
31.
19. -2x + y + 6z = 1
20. х — бу- 2z%3-8
-x + 5y + 3z= 2
3x + 2y + 5z = 16
7x + 3y – 4z = 11
3x - 2y- 4z = 18
32.
21. x + y + z = 4
22. x + 2y = -1
5x + 5y + 5z = 12
-x + 3y + 2z = -4
x- 4y + z = 9
-x + y - 4z = 10
MAT
write
23. 2x – 3y + z = 10
24. x = 4
|
33.
y + 2z = 13
x + y = -6
z = 5
4x - 3y + 2z = 26
25. x + y – z = 4
26. 2x – y – z = 15
3x + 2y + 4z = 17
4x + 5y + 2z = 10
-x + 5y + z = 8
-x - 4y + 3z = -20
%3D
27. 4x + y + 5z = 5
28. x + 2y -z = 3
8x + 2y + 10z = 10
2x + 4y- 2z = 6
SA
34.
%3D
X- y – 2z = -2
-x – 2y + z = -6
29. PROBLEM SOLVING The number of left-handed
people in the world is one-tenth the number of right-
handed people. The percent of right-handed people
is nine times the percent of left-handed people and
ambidextrous people combined What nercent of
Transcribed Image Text:In Exercises 19–28, solve the system of linear equations using the substitution method. (See Example 4.) 31. 19. -2x + y + 6z = 1 20. х — бу- 2z%3-8 -x + 5y + 3z= 2 3x + 2y + 5z = 16 7x + 3y – 4z = 11 3x - 2y- 4z = 18 32. 21. x + y + z = 4 22. x + 2y = -1 5x + 5y + 5z = 12 -x + 3y + 2z = -4 x- 4y + z = 9 -x + y - 4z = 10 MAT write 23. 2x – 3y + z = 10 24. x = 4 | 33. y + 2z = 13 x + y = -6 z = 5 4x - 3y + 2z = 26 25. x + y – z = 4 26. 2x – y – z = 15 3x + 2y + 4z = 17 4x + 5y + 2z = 10 -x + 5y + z = 8 -x - 4y + 3z = -20 %3D 27. 4x + y + 5z = 5 28. x + 2y -z = 3 8x + 2y + 10z = 10 2x + 4y- 2z = 6 SA 34. %3D X- y – 2z = -2 -x – 2y + z = -6 29. PROBLEM SOLVING The number of left-handed people in the world is one-tenth the number of right- handed people. The percent of right-handed people is nine times the percent of left-handed people and ambidextrous people combined What nercent of
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