Solve the following system of equations using matrices (row operations). If the system has no solution, say that it is inconsistent. x- 3y + 4z 22 = 2x + y +z 2 = - 20 - 2х + Зу - 3z Select the correct choice below and, if necessary, fill in the answer box(es) in your choice. O A. The solution is (, ). (Simplify your answers.) real number}. B. There are infinitely many solutions. The solution can be written as {(x,y,z) | x = (Simplify your answers. Type expressions using z as the variable.) z is y= any C. There are infinitely many solutions. The solution can be written as {(x,y,z) | x= (Simplify your answer. Type an expression using y and z as the variables.) y is any real number, z is any real number}. 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
Section9.3: Solving Problems With Two Variables
Problem 21P
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Solve the following system of equations using matrices (row operations). If the system has no solution, say that it is inconsistent.
x- 3y + 4z
22
=
2x + y +z
2
=
- 20
- 2х + Зу - 3z
Select the correct choice below and, if necessary, fill in the answer box(es) in your choice.
O A. The solution is (,
).
(Simplify your answers.)
real number}.
B.
There are infinitely many solutions. The solution can be written as {(x,y,z) | x =
(Simplify your answers. Type expressions using z as the variable.)
z is
y=
any
C. There are infinitely many solutions. The solution can be written as {(x,y,z) | x=
(Simplify your answer. Type an expression using y and z as the variables.)
y is any real number, z is any real number}.
D. The system is inconsistent.
Transcribed Image Text:Solve the following system of equations using matrices (row operations). If the system has no solution, say that it is inconsistent. x- 3y + 4z 22 = 2x + y +z 2 = - 20 - 2х + Зу - 3z Select the correct choice below and, if necessary, fill in the answer box(es) in your choice. O A. The solution is (, ). (Simplify your answers.) real number}. B. There are infinitely many solutions. The solution can be written as {(x,y,z) | x = (Simplify your answers. Type expressions using z as the variable.) z is y= any C. There are infinitely many solutions. The solution can be written as {(x,y,z) | x= (Simplify your answer. Type an expression using y and z as the variables.) y is any real number, z is any real number}. D. The system is inconsistent.
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