Solve the given system of equations. If the system has no solution, say that it is inconsistent. x- 3y • 42 = 2x y z= -2x • 3y - 3z = - 16 16 4. Select the corect choice below and fill in any answer boxes within your choice.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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ISBN:9780079039897
Author:Carter
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Chapter6: Systems Of Linear Equations And Inequalities
Section: Chapter Questions
Problem 52SGR
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Solve the given system of equations. If the system has no solution, say that it is inconsistent.
x- 3y + 4z =
16
2x+ y+ z =
4.
-2x + 3y - 3z = - 16
Select the correct choice below and fill in any answer boxes within your choice.
OA The solution is x =
and z-
(Type integers or simplified fractions.)
O B. There are infinitely many solutions. Using ordered triplets, they can be expressed as {(x.y.z) | >
(Simplify your answers. Type expressions using z as the variable as needed.)
, z any real number)-
OC. There are infinitely many solutions. Using ordered triplets, they can be expressed as {(x,.y,z) | x=
(Simplify your answer. Type an expression using y and z as the variables as needed.)
y any real number, z any real n
O D. The system is inconsistent.
Transcribed Image Text:Solve the given system of equations. If the system has no solution, say that it is inconsistent. x- 3y + 4z = 16 2x+ y+ z = 4. -2x + 3y - 3z = - 16 Select the correct choice below and fill in any answer boxes within your choice. OA The solution is x = and z- (Type integers or simplified fractions.) O B. There are infinitely many solutions. Using ordered triplets, they can be expressed as {(x.y.z) | > (Simplify your answers. Type expressions using z as the variable as needed.) , z any real number)- OC. There are infinitely many solutions. Using ordered triplets, they can be expressed as {(x,.y,z) | x= (Simplify your answer. Type an expression using y and z as the variables as needed.) y any real number, z any real n O D. The system is inconsistent.
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