Q1 of 127 Page 136

Examine the consistency of the system of equations.

x + 2y = 2


2x + 3y = 3

The given system of equations is:

x + 2y = 2


2x + 3y = 3


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



Now |A| = 3(1)-2(2) = -1 ≠ 0.


∴ A is a non-singular matrix and hence A-1 exists.


So, The system of equations will be consistent.


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