
Jeremy D. answered 07/31/19
2 Masters degrees, Professor and Tutor in Math, Test Prep, Accounting
The expression, "Fighting fire with fire" means that you are meeting force with similar force. If your opponent is yelling at you, then you yell back. If they are shooting a gun, you fire a gun back. If they are using a conventional military to attack you then you respond with your own military.
The expression, "Fighting fire with oil" is like an opposite to this. Rather than meeting force with like force, you actually use your opponent's resources and actions against them by "throwing oil on their fire". Since oil is flammable, the expression implies you are using the fire to your advantage rather than fighting against it. In the example you gave, Gracchus is a member of the Senate so presumably his weapon is politics and the power it affords him. By using this very same weapon and buying off some senators, Marcus Licinius Crassus "fought fire with oil."