Solve the following system of equations using matrices (row operations). If the system has no solution, say that it is inconsistent. x+4y-z -2 2x-8y +z= -2 -2x+ 4y - 5z = -7

Algebra for College Students
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ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter11: Systems Of Equations
Section11.CT: Test
Problem 14CT
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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+4y -z = -2
2x- 8y +z = -2
- 2x + 4y - 5z = -7
Select the correct choice below and, if necessary, fil in the answer box(es) in your choice.
OA. The solution is C).
(Simplify your answers.)
011 11.2
O B. There are infinitely many solutions. The solution can be written as (xy.z)x=y=,z is any real number).
(Simplify your answers. Type expressions using z as the variable.)
OC. 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.)
OD. The system is inconsistent.
Transcribed Image Text:Next Question Solve the following system of equations using matrices (row operations). If the system has no solution, say that it is inconsistent. x+4y -z = -2 2x- 8y +z = -2 - 2x + 4y - 5z = -7 Select the correct choice below and, if necessary, fil in the answer box(es) in your choice. OA. The solution is C). (Simplify your answers.) 011 11.2 O B. There are infinitely many solutions. The solution can be written as (xy.z)x=y=,z is any real number). (Simplify your answers. Type expressions using z as the variable.) OC. 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.) OD. The system is inconsistent.
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