Determine whether the system of linear equations has one and only one solution, infinitely many solutions, or no solution. 5 4 x − 3 4 y = 1 −x + 3 5 y = − 4 5 one and only one solution infinitely many solutions no solution Find the solution, if one exists. (If there are infinitely many solutions, express x and y in terms of the parameter t. If there is no solution, enter NO SOLUTION.) (x, y) =

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter5: Systems Of Equations And Inequalities
Section5.2: Systems Of Linear Equations In Several Variables
Problem 49E
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Determine whether the system of linear equations has one and only one solution, infinitely many solutions, or no solution.

 
5
4
 x
 −   
3
4
 y
 =  1
−x  +   
3
5
 y
 =  − 
4
5
 
one and only one solution infinitely many solutions     no solution


Find the solution, if one exists. (If there are infinitely many solutions, express x and y in terms of the parameter t. If there is no solution, enter NO SOLUTION.)

(x, y) = 
 
 
 
 
 
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