Use matrix method to examine the following system of equations for consistency or inconsistency `4x - 2y = 3` and `6x - 3y = 5`

Explanation

We have given: `4x - 2y = 3` and `6x - 3y = 5`

As we know that the system of linear equation can be written in matrix form as `AX = B`

`implies A=|(4,-2),(6,-3)|`,`X=[(x),(y)]`,`B=[(3),(5)]`

Now find the determinant of `A`,

`|A|= |(4,-2),(6,-3)|`

`|A|=-12+12`

`|A|=0`

Hence, `|A|=0 implies A` is singular.

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