Please provide Handwritten answer with explanation Solve the following system of equations using matrices (row operations). If the system has no solution, say that it is inconsistent.-x + y +z = -3-x+4y- 5z = -216x-3y-12z = 0Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice.OA. The solution is (10)(Simplify your answers.)z is any real number}OB. There are infinitely many solutions. The solution can be written as {(x,y,z)lx=y(Simplify your answers. Type expressions using z as the variable.)y is any real number, z is any real number}OC. 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.)D. The system is inconsistent.

Answered: Solve the following system of equations…

Solve the following system of equations using matrices (row operations). If the system has no solution, say that it is inconsistent. -x+y+ z = -3 -x+4y- 5z = -21 6x-3y-12z = 0

Intermediate Algebra

19th Edition

ISBN:9780998625720

Author:Lynn Marecek

Publisher:Lynn Marecek

Chapter4: Systems Of Linear Equations

Section4.1: Solve Systems Of Linear Equations With Two Variables

Problem 4.2TI: Determine whether the ordered pair is a solution to the system {x3y=83xy=4 . (a) (2,2) (b) (2,2)

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Question

Please provide Handwritten answer with explanation

Solve the following system of equations using matrices (row operations). If the system has no solution, say that it is inconsistent.
-x + y +
z = -3
-x+4y- 5z = -21
6x-3y-12z = 0
Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice.
OA. The solution is (10)
(Simplify your answers.)
z is any real number}
OB. There are infinitely many solutions. The solution can be written as {(x,y,z)lx=y
(Simplify your answers. Type expressions using z as the variable.)
y is any real number, z is any real number}
OC. 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.)
D. The system is inconsistent.

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