Examine the consistency of the system of equations.

x + 2y = 2

2x + 3y = 3

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Solution

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

∴ A is non-singular.

Therefore, A⁻¹ exists.

Hence, the given system of equations is consistent.

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