Solve the given system of equations. If the system has no solution, say that is it inconsistent. х — У 4 5x - 7z = 35 5y + z = 15 Select the correct choice below and fill in any answer boxes within your choice. A. The solution is x = y =, and z = - (Type integers or simplified fractions.) B. There are infinitely many solutions. Using ordered triplets, they can be expressed 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, they can be expressed 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 in inconsistent.

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter9: Systems Of Linear Equations
Section9.3: Solving Problems With Two Variables
Problem 6OE
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Solve the given system of equations. If the system has no solution, say that is it inconsistent.
х —
У
4
5x
- 7z = 35
5y +
z = 15
Select the correct choice below and fill in any answer boxes within your choice.
A. The solution is x =
y =, and z =
- (Type integers or simplified fractions.)
B. There are infinitely many solutions. Using ordered triplets, they can be expressed 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, they can be expressed 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 in inconsistent.
Transcribed Image Text:Solve the given system of equations. If the system has no solution, say that is it inconsistent. х — У 4 5x - 7z = 35 5y + z = 15 Select the correct choice below and fill in any answer boxes within your choice. A. The solution is x = y =, and z = - (Type integers or simplified fractions.) B. There are infinitely many solutions. Using ordered triplets, they can be expressed 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, they can be expressed 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 in inconsistent.
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