1987 toyota supra will not start unless push started?

If your 1987 Toyota Supra only starts when push-started, it could indicate a problem with the battery, starter motor, or ignition system. Check the battery to ensure it holds a charge and the terminals are clean and tight. Inspect the starter motor for proper function, and examine the ignition system, including the ignition switch and wiring. Additionally, it may be worth checking for any fuel delivery issues that could prevent starting normally.