Solve the following system of equations by matrix method: `3x+y=19 ,\ \ 3x-y=23`

Explanation

We have given

`3x+y=19`

` 3x-y=23`

We can write them in matrix from AX=B....(i)

`⇒[(3,1),(3,-1)][(x),(y)]=[(19),(23)]`

Determinant of matrix A,

`∣A∣=|(3,1),(3,-1)|`

`∣A∣=-3-3=-6ne0`

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