1988 Mazda RX7 CAR WILL START, THEN QUICKLY DIE

Hi sumnrob, Welcome to 2carpros and TY for the donation and selecting us as your auto repair site Feel free to ask questions at anytime

Okay do you hear the fuel pump if so check the fuel pressure and also for injector pulses

How's the fuel filter???

All Models except B2200 and B2600 Pressure Regulator
Disconnect battery negative terminal. Disconnect main fuel hose from fuel pipe. Connect pressure gauge between fuel main hose and pipe using a 3-way joint.
NOTE:Cover hose with waste cloth since fuel is splashed out when disconnecting the hose.

Connect battery negative terminal, and start engine. Disconnect vacuum hose connected to pressure regulator at pressure regulator control valve. Measure fuel pressure at idle. Pressure should be 35.6-37.0 psi (2.5-2.6 kg/cm2 ). Connect vacuum hose as it was, and measure fuel pressure. Pressure should be 28.4 psi (2.0 kg/cm2 ).
If pressure is less than specified, check for bent or kinked fuel supply line, plugged fuel filter, plugged or bad fuel injectors, leaking pressure regulator and/or inoperative fuel pump.
If pressure exceeds specification, check for kinked, bent or plugged fuel return line and/or defective pressure regulator.

You don't hear the fuel pump, power the blue wire at the fuel pump connector and see if the pump comes on.

Thank you very much for the prompt response. I will follow the procedures you mentioned and will let you know the results.

Thanks again!