Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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Question
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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.
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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
Check Mark
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=36≠513

Hence, the System of equations has no solution.

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