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5m+2n=13 (2)
m+3n=6 5m+2n=13
m=6-3n m=(13-2n)/5
igualando:
6-3n=(13-2n)/5
5*(6-3n)=13-2n
30-15n=13-2n
30-13=-2n+15n
17=13n
n=17/13
sabiendo el valor de n entonces remplazamos en cualquiera de las dos ecuaciones originales
m+3n=6
m+3(17/13)=6
m=6-3(17/13)
m=27/13