# GATE2017-37

The value of $c$ for which the following system of linear equations has an infinite number of solutions is ________ $$\begin{bmatrix}1 & 2 \\ 1 & 2 \end{bmatrix} \begin{bmatrix} x \\ y \end{bmatrix} = \begin{bmatrix} c \\ 4 \end{bmatrix}$$