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100x+50y=3000
X+y=39
X=39-y
Metodo de sustitución
100(39-y)+50y=3000
3900-100y+50y=3000
3900-3000=100y-50y
900=50y
Y=900/50
Y=18
100x+50.18=3000
100x+900=3000
100x=3000-900
100x=2100
X=2100/100
X=21
Hay 21 monedas de $100 y 18 monedas de $50.
Verificación
100.21+50.18=3000
2100+900=3000
3000=3000
21+18=39
39=39
Espero haberte ayudado ;)