Use Gaussian elimination to find the complete solution to the system of equations, or show that none exists. { 5x+ y- z= 5 4x+4y - 3z = 4 Select the correct choice below and, if necessary, fill in the answer box to complete your choice O A. There is one solution. The solution set is ( D) (Simplify your answers.) O B. There are infinitely many solutions. The solution set is ( z)}, where z is any real number. (Simplify your answers. Type expressions using z as the variable. Use integers or fractions for any numbers in the expressions OC. There is no solution. The solution set is ø.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.2: Direct Methods For Solving Linear Systems
Problem 4CEXP
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Use Gaussian elimination to find the complete solution to the system of equations, or show that none exists.
5x + y- z= 5
4x + 4y - 3z = 4
Select the correct choice below and, if necessary, fill in the answer box to complete your choice
O A. There is one solution. The solution set is (( D)
(Simplify your answers.)
O B. There are infinitely many solutions. The solution set is (( z)}, where z is any real number.
(Simplify your answers. Type expressions using z as the variable. Use integers or fractions for any numbers in the expressions.)
O C. There is no solution. The solution set is Ø.
Transcribed Image Text:Use Gaussian elimination to find the complete solution to the system of equations, or show that none exists. 5x + y- z= 5 4x + 4y - 3z = 4 Select the correct choice below and, if necessary, fill in the answer box to complete your choice O A. There is one solution. The solution set is (( D) (Simplify your answers.) O B. There are infinitely many solutions. The solution set is (( z)}, where z is any real number. (Simplify your answers. Type expressions using z as the variable. Use integers or fractions for any numbers in the expressions.) O C. There is no solution. The solution set is Ø.
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