Solve the given system of equations. If the system has no solution, say that it is inconsistent. х - Зу + 4z%3 21 2x + y + z = 7 - 2x + 3y - 3z = - 19 Select the correct choice below and fill in any answer boxes within your choice. O A. The solution is x= y = and z = (Type integers or simplified fractions.) O B. There are infinitely many solutions. Using ordered triplets, they can be expressed as {(x,y,z) | x = (Simplify your answers. Type expressions using z as the variable as needed.) , у%3 z any real number}. OC. There are infinitely many solutions. Using ordered triplets, they can be expressed as {(x,y,z) .y any real number, z any real number}. %3D (Simplify your answer. Type an expression using y and z as the variables as needed.) O D. The system is inconsistent.

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 30P
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Solve the given system of equations. If the system has no solution, say that it is inconsistent.
х - Зу + 4z%3
21
2x + y + z =
7
- 2х + Зу - 3z %3
-19
Select the correct choice below and fill in any answer boxes within your choice.
O A. The solution is x=
y= , and z= (Type integers or simplified fractions.)
z any real number}.
B. There are infinitely many solutions. Using ordered triplets, they can be expressed as {(x,y,z) x= y =
(Simplify your answers. Type expressions using z as the variable as needed.)
O C. There are infinitely many solutions. Using ordered triplets, they can be expressed as {(x,y,z) x:
(Simplify your answer. Type an expression using y and z as the variables as needed.)
X =
, y any real number, z any real number}.
O D. The system is inconsistent.
Transcribed Image Text:Solve the given system of equations. If the system has no solution, say that it is inconsistent. х - Зу + 4z%3 21 2x + y + z = 7 - 2х + Зу - 3z %3 -19 Select the correct choice below and fill in any answer boxes within your choice. O A. The solution is x= y= , and z= (Type integers or simplified fractions.) z any real number}. B. There are infinitely many solutions. Using ordered triplets, they can be expressed as {(x,y,z) x= y = (Simplify your answers. Type expressions using z as the variable as needed.) O C. There are infinitely many solutions. Using ordered triplets, they can be expressed as {(x,y,z) x: (Simplify your answer. Type an expression using y and z as the variables as needed.) X = , y any real number, z any real number}. O D. The system is inconsistent.
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