Solve the system of equations. If the system has no solution, say that it is inconsistent. y - z = 2 2x + 7y + z = 3 9x + 18y = 0 Select the correct choice below and, if necessary, fill in any answer boxes within your choice.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Question
Solve the system of equations. If the system has no solution, say that it is inconsistent.
y - z =
2
2x + 7y + z =
3
9x + 18y
= 0
Select the correct choice below and, if necessary, 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. The solutions set is ((x,y,z) | x =, y =
(Simplify your answers. Type expressions using z as the variable.)
,z is any real number}.
%3D
OC. There are infinitely many solutions. The solution set is {(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.
Transcribed Image Text:Solve the system of equations. If the system has no solution, say that it is inconsistent. y - z = 2 2x + 7y + z = 3 9x + 18y = 0 Select the correct choice below and, if necessary, 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. The solutions set is ((x,y,z) | x =, y = (Simplify your answers. Type expressions using z as the variable.) ,z is any real number}. %3D OC. There are infinitely many solutions. The solution set is {(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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