Answer: Option B is the correct option.The matrix represents the 4x-7y=-12 and -14x+4y=4 linear system of equations.
Explanation:
The given augumented matrix can be written as AX=B where X is our variable matrix with variables x and y.

Comparing corresponding elements in equal matrices, we get
⇒4x-7y=-12
-14x+4y=4
Therefore the matrix represents the 4x-7y=-12 and -14x+4y=4 linear system of equations.