Examine the consistency of the system of equations.

x + 3y = 5


2x + 6y = 8


The given system of equations is:

x + 3y = 5


2x + 6y = 8


The given system of equations can be written in the form of AX = B, where



Now |A| = 1(6)-3(2) = 0


A is a singular matrix and hence A-1 doesn’t exist.


So, The system of equations will be inconsistent.


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