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

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter6: Linear Systems
Section6.CT: Chapter Test
Problem 9CT
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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+ y+ z = - 1
— х + Зу — 3z
4х - Зу - 6z %3
Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice.
D.
(Simplify your answers.)
A.
The solution is (
B.
z is any real number}.
There are infinitely many solutions. The solution can be written as {(x,y,z)|x=, y =
(Simplify your answers. Type expressions using z as the variable.)
{(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}.
C. There are infinitely many solutions. The solution can be written as
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+ y+ z = - 1 — х + Зу — 3z 4х - Зу - 6z %3 Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice. D. (Simplify your answers.) A. The solution is ( B. z is any real number}. There are infinitely many solutions. The solution can be written as {(x,y,z)|x=, y = (Simplify your answers. Type expressions using z as the variable.) {(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}. C. There are infinitely many solutions. The solution can be written as D. The system is inconsistent.
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