When does the system fail to have a unique solution?

MediumLinear Algebra~3m

Consider the linear system $2x+3y=8$ and $4x+ky=5$ , where $k$ is a parameter. For exactly one value of $k$ the system fails to have a unique solution. What is that value of $k$ ?

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Unique solution $\iff$ the coefficient matrix is invertible ( $\det\neq0$ ).
Set $\det\begin{pmatrix}2&3\\4&k\end{pmatrix}=0$ .

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When does the system fail to have a unique solution?

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