#### Question

Examine the consistency of the system of equations.

*x *+ 2*y *= 2

2*x* + 3*y *= 3

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#### Solution

The given system of equations is:

*x *+ 2*y *= 2

2*x* + 3*y *= 3

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

∴ *A* is non-singular.

Therefore, *A*^{−1} exists.

Hence, the given system of equations is consistent.

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#### Reference Material

Solution for question: Examine the Consistency of the System of Equations. X + 2y = 2 2x + 3y = 3 concept: Applications of Determinants and Matrices. For the courses CBSE (Arts), CBSE (Commerce), CBSE (Science)