Determine whether the system of linear equations has one and only one solution, infinitely many solutions, or no solution. 5 4x  −  2 3y  =  6   1 4x  +  5 3y  =  12 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) =

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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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
 =  6
 
1
4
x
 + 
5
3
y
 =  12
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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