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Solve the system of equations. 4x-2y+z= 8 x+y=7 Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. O A. This system has exactly one solution. The solution is (... (Type integers or simplified fractions.) OB. This system has infinitely many solutions of the form (..z), where z is any real number. (Type expressions using z as the variable. Use integers or fractions for any numbers in the expressions.) OC. This solution has no solution.

Solve the system of equations. 4x-2y+z= 8 x+y=7 Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. O A. This system has exactly one solution. The solution is (... (Type integers or simplified fractions.) OB. This system has infinitely many solutions of the form (..z), where z is any real number. (Type expressions using z as the variable. Use integers or fractions for any numbers in the expressions.) OC. This solution has no solution.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Solve the system of equations. 4x - 2y + z = 8 x+y=7 Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. OA. This system has exactly one solution. The solution is (... (Type integers or simplified fractions.) B. This system has infinitely many solutions of the form (z), where z is any real number. (Type expressions using z as the variable. Use integers or fractions for any numbers in the expressions.) OC. This solution has no solution.
Transcribed Image Text:Solve the system of equations. 4x - 2y + z = 8 x+y=7 Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. OA. This system has exactly one solution. The solution is (... (Type integers or simplified fractions.) B. This system has infinitely many solutions of the form (z), where z is any real number. (Type expressions using z as the variable. Use integers or fractions for any numbers in the expressions.) OC. This solution has no solution.
Expert Solution
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The solution of given system of linear equations is given by back substitution method.

The system has infinitely many solutions.

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