Solve the given system of equations. If the system has no solution, say that is it inconsistent.X - y2x- 2z = 82y + z = 6Select 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= .y= z any real number}.(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.)y any real number, z any real number>O D. The system in inconsistent. Solve the following system of equations using matrices (row operations). If the system has no solution, say that it is inconsistent.x+3y -z =-23x - 6y +z =-3- 3x+3y - 4z =- 4Select the corect choice below and, if necessary, fill in the answer box(es) in your choice.O A. The solution is ( D(Simplify your answers.)O B. 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.)z is any real number).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.)y is any real number, z is any real number}.O D. The system is inconsistent.

According to our guidelines we are supposed to answer only one question, since you have asked more…

Solve the given system of equations. If the system has no solution, say that is it inconsistent. X - y %3D 2x - 2z = 8 %3D 2y + z = 6 ..... Select the correct choice below and fill in any answer boxes within your choice.

Solve the given system of equations. If the system has no solution, say that is it inconsistent. X - y %3D 2x - 2z = 8 %3D 2y + z = 6 ..... Select the correct choice below and fill in any answer boxes within your choice.

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 6OE

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Question

Solve the given system of equations. If the system has no solution, say that is it inconsistent.
X - y
2x
- 2z = 8
2y + z = 6
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= .y= z any real number}.
(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.)
y any real number, z any real number>
O D. The system in inconsistent.

Solve the following system of equations using matrices (row operations). If the system has no solution, say that it is inconsistent.
x+3y -z =-2
3x - 6y +z =
-3
- 3x+3y - 4z =
- 4
Select the corect choice below and, if necessary, fill in the answer box(es) in your choice.
O A. The solution is ( D
(Simplify your answers.)
O B. 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.)
z is any real number).
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.)
y is any real number, z is any real number}.
O D. The system is inconsistent.

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