The question was to find out if the cable you're using is rated to handle the current that would be drawn to supply both amplifiers.
Cables are current rated. Obviously, the thicker the cable, the more current it can carry. I'm an electrician by trade, and I can tell you that using under-rated cable is dangerous. It can quite easily melt and catch fire, and that's the last thing you want in a car.
Current flow walks hand in hand with two properties, magnetism and heat. The heat is created by the friction of colliding electrons inside the conductor. The easiest way to reduce the heat given off by a conductor is to reduce the impedance of the conductor itself. This can be done by increasing the cross-sectional area of the conductor, amongst other methods. The thicker the conductor is, the less restriction it will place on current flow.
Think of it like a water pipe. If you try to force too much water through a pipe that is too thin to handle it, damage will occur. The two options you have are to reduce the amount of water you are trying to force through the pipe, or increase the cross-sectional area of the pipe to allow greater water flow.
This is related to the equation R=ρL/A.
R represents the Resistance of the conductor measured in Ohms.
ρ represents the Resistivity of the material, a pre-determined value measured in Ohm-Metres.
L represents the Length of the conductor in Metres.
A represents the Cross-Sectional Area of the conductor in Metres Squared.
As you can see, as A increases, R decreases. The thicker the wire, the more easily current can flow through it at a given value of voltage.
Sorry for the crash course, just thought it might help you understand the reason why cable size is so important.