12.2.49 Solve the following system of equations using matrices (row operations). If the system has no solution, say that it is inconsistent. x-y= 2 6x- 7z = 30 6y + 2z = 18 Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice. O A. The solution is ( (Simplify your answers.) O B. There are infinitely many solutions. The solution can be written as {(x.y.z)lx= (Simplify your answers. Type expressions using z as the variable.) z is any real number) %3D O C. There are infinitely many solutions. The solution can be written as (x.y.z)lx= (Simplify your answer Type an expression using y andz as the variables.) y is any real number, z is any real number) OD. The system is inconsistent.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 2EQ: 2. Suppose that in Example 2.27, 400 units of food A, 500 units of B, and 600 units of C are placed...
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12.2.49
Solve the following system of equations using matrices (row operations). If the system has no solution, say that it is inconsistent.
x-y= 2
6x-7z = 30
6y + 2z = 18
Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice.
O A. The solution is ( )
(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
(xy.2)1x=|
y is any real number, z is any real number}
(Simplify your answer Type an expression using y andz as the variables.)
OD. The system is inconsistent.
Transcribed Image Text:12.2.49 Solve the following system of equations using matrices (row operations). If the system has no solution, say that it is inconsistent. x-y= 2 6x-7z = 30 6y + 2z = 18 Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice. O A. The solution is ( ) (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 (xy.2)1x=| y is any real number, z is any real number} (Simplify your answer Type an expression using y andz as the variables.) OD. The system is inconsistent.
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