Solve the system of equations. If the system has no solution, say that it is inconsistent. х+ у- 2y + z = 10 х+ Зу — 2z = 12 Select the correct choice below and fill in any answer boxes within your choice. O 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 = (Simplify your answers. Type expressions using z as the variable as needed.) z any real number}. 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.) D. The system is inconsistent.
Solve the system of equations. If the system has no solution, say that it is inconsistent. х+ у- 2y + z = 10 х+ Зу — 2z = 12 Select the correct choice below and fill in any answer boxes within your choice. O 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 = (Simplify your answers. Type expressions using z as the variable as needed.) z any real number}. 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.) 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.
х+ у-
2y +
z = 10
х+ Зу —
2z = 12
Select the correct choice below and fill in any answer boxes within your choice.
O 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 =
(Simplify your answers. Type expressions using z as the variable as needed.)
z any real number}.
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.)
D. The system is inconsistent.
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