Answer 1

The given equations can be written in the matrix form as:

`[(2,6),(1,3)][("x"),("y")]=[(8),(5)]`

This is of the form AXB, where

A = `[(2,6),(1,3)]`, X = `[("x"),("y")]` and B = `[(8),(5)]`

Let us find A⁻¹

|A| = `[(2,6),(1,3)]` = 6 − 6 = 0

∴ A⁻¹ does not exist.

Hence, x and y do not exist.