Solve the following system of equations using matrices (row operations). If the system has no solution, say that it is inconsistent. x+3y-z = 7 2x-6y +z = 1 - 2x + 3y - 4z = 7 Select the correct choice below and, if necessary, fill in the answer box(es) in your choice. O A. The solution is (110). (Simplify your answers.) OB. There are infinitely many solutions. The solution can be written as {(x,y,z) |x=y=[ z is any real number}. (Simplify your answers. Type expressions using z as the variable.) O 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.) O D. The system is inconsistent. y is any real number, z is any real number}. ...

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
Section9.5: Multiplication With The Addition-or-subtraction Method
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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-z = 7
2x-6y +z = 1
- 2x + 3y - 4z = 7
Select the correct choice below and, if necessary, fill in the answer box(es) in your choice.
O A. The solution is (110).
(Simplify your answers.)
O B.
There are infinitely many solutions. The solution can be written as {(x,y,z)|x=y=[ z is any real number}.
(Simplify your answers. Type expressions using z as the variable.)
O C.
There are infinitely many solutions. The solution can be written as {(x,y,z)|x= y is any real number, z is any real number}.
(Simplify your answer. Type an expression using y and z as the variables.)
O 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-z = 7 2x-6y +z = 1 - 2x + 3y - 4z = 7 Select the correct choice below and, if necessary, fill in the answer box(es) in your choice. O A. The solution is (110). (Simplify your answers.) O B. There are infinitely many solutions. The solution can be written as {(x,y,z)|x=y=[ z is any real number}. (Simplify your answers. Type expressions using z as the variable.) O C. There are infinitely many solutions. The solution can be written as {(x,y,z)|x= y is any real number, z is any real number}. (Simplify your answer. Type an expression using y and z as the variables.) O D. The system is inconsistent. ...
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