I had this problem, I had a faulty TPS sensor
The computer has detected a problem with the emissions system. Take it to a professional.
The first thing to check is the gas cap to see if it is on tight and the gasket is in good condition. After that, it gets tricky.
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My Hyundai Elantra 2008 GLS with 13,800 miles on it had a vibrating rattle especially when idling but also while driving although not always. I bought the car used. After four months of going crazy with the sound we found that it was coming from where the back seat joins the frame. It is not tightly joined there nor is it cushioned. We stuffed some thin cardboard around it to tighten it. That keeps it from vibrating and rattling.
You need check the transmission module first(very popular problem with 01-03 elantras), connectors(outside on the transmision) ,scan your computer to get some codes. po713 po760 po745
The Neutral Safety switch This is a part found on all cars with automatic transmissions. It prevents the starter from engaging if the transmission is in any gear other than 'Park' or 'Neutral'. It also turns on the back-up lights when the transmission is shifted into "reverse". It can get out of adjustment or fail.
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Check your gas cap. Lots of times its not on tight and causes your light to come on. After you check your cap remove your negative battery cable for a minute to clear the computer and then see what happens
the transmissions are weak from the factory. and there motors are strong from the factory. you do the math. the transmissions are weak from the factory. and there motors are strong from the factory. you do the math.
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Sounds like your gearbox is worn out. I would try changing the oil in it, this might cure your problem. If not its either a gearbox strip or a new one. Hope this helps
There are several things that cause overheating. The most common: Thermostat stuck in the closed position; low coolant level; water/antifreeze mix incorrect; hoses with leaks; clogged radiator; faulty water pump. Other more serious: blown head gasket; cracked cylinder head.