Find the solution to the given linear system. If the system does not have a unique solution choose "no solution" or "infinitely many solutions". 3y 2x – 6y 13 %3D (x, y) : Preview %3D ONo solution. OInfinitely Many Solutions.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Linear system linear algebra 

Find the solution to the given linear system. If the system does not have a unique solution choose "no solution"
or "infinitely many solutions".
I – 3y
2x - 6y
13
(x, y) =
Preview
ONo solution.
OInfinitely Many Solutions.
Transcribed Image Text:Find the solution to the given linear system. If the system does not have a unique solution choose "no solution" or "infinitely many solutions". I – 3y 2x - 6y 13 (x, y) = Preview ONo solution. OInfinitely Many Solutions.
Expert Solution
Checking if the solution of given system exists or not

We are given the system of linear equations,

x-3y=5 --(1)2x-6y=13 ---(2)

On dividing (2) on both sides by 2, we have 

x-3y=132---(3)

From (1) and (3)

x-3y=5 and x-3y=132, which is a contradiction,

Hence the System of equations has no solution.

Moreover,

12=36513

Hence, the System of equations has no solution.

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