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.