Solve the system of equations by any method. Зх — 4у + 2х — —19 (1) - 2x + 4y + z = 20 (2) 2т + 3у + 52 23 (3) Enter the exact answer as an ordered triple, (, y, z).
Solve the system of equations by any method. Зх — 4у + 2х — —19 (1) - 2x + 4y + z = 20 (2) 2т + 3у + 52 23 (3) Enter the exact answer as an ordered triple, (, y, z).
Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter9: Systems Of Linear Equations
Section9.7: Puzzle Problems
Problem 18P
Related questions
Question
100%
![Solve the system of equations by any method.
Зх — 4у + 2х — —19
(1)
-
2x + 4y + z = 20
(2)
2т + 3у + 52
23
(3)
Enter the exact answer as an ordered triple, (x, y, z).
Hint: There are multiple ways to solve this system of equations.
• A strategy is to eliminate one of the variables and end up with 2 equations in 2 variables.
• One way to do that is to begin with equation 2 to get z = 20 – 2 x – 4 y.
• Then substitute 20 – 2 x – 4 y for z in equations 1 and 3.
• You now have 2 equations (the modified equations 1 and 3) in 2 variables (x and y).
• Solve this smaller system for x and y and then use z = 20 – 2 – 4 y to calculate z.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd6b9bc56-dad2-423a-bbe6-4820f32dcbba%2Faa92b645-6df2-4ff9-9c19-f2cfec9abe18%2Fir4mj27_processed.png&w=3840&q=75)
Transcribed Image Text:Solve the system of equations by any method.
Зх — 4у + 2х — —19
(1)
-
2x + 4y + z = 20
(2)
2т + 3у + 52
23
(3)
Enter the exact answer as an ordered triple, (x, y, z).
Hint: There are multiple ways to solve this system of equations.
• A strategy is to eliminate one of the variables and end up with 2 equations in 2 variables.
• One way to do that is to begin with equation 2 to get z = 20 – 2 x – 4 y.
• Then substitute 20 – 2 x – 4 y for z in equations 1 and 3.
• You now have 2 equations (the modified equations 1 and 3) in 2 variables (x and y).
• Solve this smaller system for x and y and then use z = 20 – 2 – 4 y to calculate z.
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 3 steps with 3 images
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.Recommended textbooks for you
![Algebra: Structure And Method, Book 1](https://www.bartleby.com/isbn_cover_images/9780395977224/9780395977224_smallCoverImage.gif)
Algebra: Structure And Method, Book 1
Algebra
ISBN:
9780395977224
Author:
Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:
McDougal Littell
![College Algebra (MindTap Course List)](https://www.bartleby.com/isbn_cover_images/9781305652231/9781305652231_smallCoverImage.gif)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
![Glencoe Algebra 1, Student Edition, 9780079039897…](https://www.bartleby.com/isbn_cover_images/9780079039897/9780079039897_smallCoverImage.jpg)
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
![Algebra: Structure And Method, Book 1](https://www.bartleby.com/isbn_cover_images/9780395977224/9780395977224_smallCoverImage.gif)
Algebra: Structure And Method, Book 1
Algebra
ISBN:
9780395977224
Author:
Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:
McDougal Littell
![College Algebra (MindTap Course List)](https://www.bartleby.com/isbn_cover_images/9781305652231/9781305652231_smallCoverImage.gif)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
![Glencoe Algebra 1, Student Edition, 9780079039897…](https://www.bartleby.com/isbn_cover_images/9780079039897/9780079039897_smallCoverImage.jpg)
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
![Algebra for College Students](https://www.bartleby.com/isbn_cover_images/9781285195780/9781285195780_smallCoverImage.gif)
Algebra for College Students
Algebra
ISBN:
9781285195780
Author:
Jerome E. Kaufmann, Karen L. Schwitters
Publisher:
Cengage Learning
![Holt Mcdougal Larson Pre-algebra: Student Edition…](https://www.bartleby.com/isbn_cover_images/9780547587776/9780547587776_smallCoverImage.jpg)
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
![Intermediate Algebra](https://www.bartleby.com/isbn_cover_images/9780998625720/9780998625720_smallCoverImage.gif)