Solve the system of equations. If the system has no solution, say that it is inconsistent. x+ y - z= 7 z = 2 x + 7y - 4z = 31 5x - 2y + Select the correct choice below and fill in any answer boxes within your choice. A. The solution of the system is x = , y = O and z=| (Simplify your answers.) O B. There are infinitely many solutions. Using ordered triplets, the solution can be written as {(x,y.z)|x=, y=,z any real number}. (Simplify your answers. Type expressions using z as the variable as needed.) OC. There are infinitely many solutions. Using ordered triplets, the solution can be written as {(x.y,z)|x=, y any real number, z any real number}. (Simplify your answer. Type an expression using y and z as the variables as needed.) O D. The system is inconsistent.
Solve the system of equations. If the system has no solution, say that it is inconsistent. x+ y - z= 7 z = 2 x + 7y - 4z = 31 5x - 2y + Select the correct choice below and fill in any answer boxes within your choice. A. The solution of the system is x = , y = O and z=| (Simplify your answers.) O B. There are infinitely many solutions. Using ordered triplets, the solution can be written as {(x,y.z)|x=, y=,z any real number}. (Simplify your answers. Type expressions using z as the variable as needed.) OC. There are infinitely many solutions. Using ordered triplets, the solution can be written as {(x.y,z)|x=, y any real number, z any real number}. (Simplify your answer. Type an expression using y and z as the variables as needed.) O D. The system is inconsistent.
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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![**Solve the system of equations. If the system has no solution, say that it is inconsistent.**
\[
\begin{cases}
x + y - z = 7 \\
5x - 2y + z = 2 \\
x + 7y - 4z = 31 \\
\end{cases}
\]
**Select the correct choice below and fill in any answer boxes within your choice.**
- **A.** The solution of the system is \( x = \square \), \( y = \square \), and \( z = \square \).\
(Simplify your answers.)
- **B.** There are infinitely many solutions. Using ordered triplets, the solution can be written as \(\{(x, y, z) | x = \square, y = \square, z \text{ any real number}\}\).\
(Simplify your answers. Type expressions using \(z\) as the variable as needed.)
- **C.** There are infinitely many solutions. Using ordered triplets, the solution can be written as \(\{(x, y, z) | x = \square, y \text{ any real number}, z \text{ any real number}\}\).\
(Simplify your answer. Type an expression using \(y\) and \(z\) as the variables as needed.)
- **D.** The system is inconsistent.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F49360a23-9f24-445c-a223-e7141e33e2c6%2F04cddb54-5a9d-4a58-bd7f-970aff5ec549%2F826vc_processed.png&w=3840&q=75)
Transcribed Image Text:**Solve the system of equations. If the system has no solution, say that it is inconsistent.**
\[
\begin{cases}
x + y - z = 7 \\
5x - 2y + z = 2 \\
x + 7y - 4z = 31 \\
\end{cases}
\]
**Select the correct choice below and fill in any answer boxes within your choice.**
- **A.** The solution of the system is \( x = \square \), \( y = \square \), and \( z = \square \).\
(Simplify your answers.)
- **B.** There are infinitely many solutions. Using ordered triplets, the solution can be written as \(\{(x, y, z) | x = \square, y = \square, z \text{ any real number}\}\).\
(Simplify your answers. Type expressions using \(z\) as the variable as needed.)
- **C.** There are infinitely many solutions. Using ordered triplets, the solution can be written as \(\{(x, y, z) | x = \square, y \text{ any real number}, z \text{ any real number}\}\).\
(Simplify your answer. Type an expression using \(y\) and \(z\) as the variables as needed.)
- **D.** The system is inconsistent.
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