Solve the system of equations. If the system has no solution, say that it is inconsistent. X + y - z = 7 2x - 2y + z = 0 x + 7y - 4z = 25 Select the correct choice below and fill in any answer boxes within your choice. A. The solution of the system is x = y = and z= (Simplify your answers.) B. There are infinitely many solutions. Using ordered triplets, the solution can be written 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, the solution can be written as {(x.y.z)|x= y any real number, z any real number}. (Simplify your answer. Type an expression using y and z as the variables as needed.) O D. The system is inconsistent.
Solve the system of equations. If the system has no solution, say that it is inconsistent. X + y - z = 7 2x - 2y + z = 0 x + 7y - 4z = 25 Select the correct choice below and fill in any answer boxes within your choice. A. The solution of the system is x = y = and z= (Simplify your answers.) B. There are infinitely many solutions. Using ordered triplets, the solution can be written 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, the solution can be written as {(x.y.z)|x= y any real number, z any real number}. (Simplify your answer. Type an expression using y and z as the variables as needed.) O D. The system is inconsistent.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter6: Systems Of Linear Equations And Inequalities
Section: Chapter Questions
Problem 52SGR
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Transcribed Image Text:Solve the system of equations. If the system has no solution, say that it is inconsistent.
X + y - z = 7
2x - 2y + z = 0
x + 7y - 4z = 25
Select the correct choice below and fill in any answer boxes within your choice.
A. The solution of the system is x =
y =
and z=
(Simplify your answers.)
B. There are infinitely many solutions. Using ordered triplets, the solution can be written 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, the solution can be written as
{(x.y.z)|x= y any real number, z any real number}.
(Simplify your answer. Type an expression using y and z as the variables as needed.)
O D. The system is inconsistent.
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