Use row operations to solve the system. x + y - z=5 4x - y + z = 0 x-3y + 2z= -27 Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. A. This system has exactly one solution. The solution is (Type an exact answer in simplified form.) B. This system has infinitely many solutions of the form ( (Type expressions using z as the variable.) C. This system has no solution. ,z), where z is any real number.

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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Use row operations to solve the system.
4x-
x+ y- z=5
y + z = 0
x - 3y + 2z= -27
Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice.
A. This system has exactly one solution. The solution is (
(Type an exact answer in simplified form.)
B.
This system has infinitely many solutions of the form
(Type expressions using z as the variable.)
C. This system has no solution.
z), where z is any real number.
Transcribed Image Text:Use row operations to solve the system. 4x- x+ y- z=5 y + z = 0 x - 3y + 2z= -27 Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. A. This system has exactly one solution. The solution is ( (Type an exact answer in simplified form.) B. This system has infinitely many solutions of the form (Type expressions using z as the variable.) C. This system has no solution. z), where z is any real number.
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