Determine whether the system of linear equations has one and only one solution, infinitely many solutions, or no solution. 5 4x  −  2 3y  =  3   1 4x  +  5 3y  =  6 one and only one solutioninfinitely 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) =

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter6: Systems Of Linear Equations And Inequalities
Section: Chapter Questions
Problem 15PT
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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
 − 
2
3
y
 =  3
 
1
4
x
 + 
5
3
y
 =  6
one and only one solutioninfinitely 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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