Two averages, one crosses the other, you take the trade. It is the first system most people meet, it is genuinely useful in a trend, and it is punishing in a range - and knowing which one you are in is the entire problem.
A crossover system buys when a faster moving average crosses above a slower one and sells when it crosses below; 50 over 200 on a daily chart is nicknamed a golden cross. It identifies trends after they start and whipsaws repeatedly in ranges, because an average of past bars cannot turn before price does. It works better as a trend filter than as an entry signal.

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Open EURUSD with an EMA →Plot a fast average and a slow one. When the fast crosses above the slow, recent prices are rising faster than the longer average - a bullish cross. When it crosses below, the opposite. On daily charts, a 50 crossing a 200 upwards is nicknamed a golden cross, and downwards a death cross. Those are labels, not forecasts.
Common pairings are 9/21, 20/50 and 50/200; EMAs react faster than SMAs and give more signals, both true and false. There is no magic setting - shorter is earlier and noisier, longer is later and cleaner.
A crossover is a trend filter. Used as a bias - only take long setups while the fast average is above the slow one - it keeps you on the right side of a sustained move. Used as a standalone entry signal, it buys after the move has started and exits after it has ended, which is the price of being mechanical.

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Play free, no signup →A shorter moving average crossing above a longer one, most often the 50 crossing the 200 on a daily chart. A death cross is the same thing downwards. Both are descriptions of what already happened.
There is no best pair. Shorter averages signal earlier and produce more false signals; longer ones are later and cleaner. Pick one, test it across trending and ranging periods, and keep it.
They identify trends after they start and whipsaw in ranges. Used as a filter with proper risk control they are a reasonable tool; used alone as an entry they are a coin flip with costs attached.
EMA weights recent prices more, so it reacts faster in both directions. Neither is better in general; the difference matters less than the risk rules around it.

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