Solution
Step 1
Write the given matrix
[tex]\begin{bmatrix}{6} & {3} \\ {8} & {4}\end{bmatrix}\begin{bmatrix}{x} & {} \\ {y} & {}\end{bmatrix}=\begin{bmatrix}{9} & {} \\ {12} & {}\end{bmatrix}[/tex]Step 2
Find the inverse of
[tex]\begin{gathered} \begin{bmatrix}{6} & {3} \\ {8} & {4}\end{bmatrix} \\ \\ Inverse\text{ = }\frac{Adjoint}{determiant} \\ determinant\text{ = 6}\times4\text{ - 8}\times3\text{ = 24 - 24 = 0} \\ \\ Since\text{ the determinant is zero, hence the matrix has no inverse.} \end{gathered}[/tex]Final answer
Not possible