Inverse matrix

Hello, i'm new to this group
I'm trying to demix two audio signal.
My audio signals are y1 and y2 (Y=[y1;y2])
The impulse resonses: H11, H12, H21, H22.
The matrix form of the system is: y=H*x
I'm searching for x: x=(H^-1)*y
The problem is: det(H)=0, also invertible!
i'll be grateful for any idea.



.