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7m+3n=15
7m=15-3n
m=(15-3n)/7 ....(I)
5m+6n=27
5m=27-6n
m=(27-6n)/5 ....(II)
igualando (I) y (II)
(15-3n)/7 = (27-6n)/5
75 - 15n = 189 - 42n
42n - 15n = 189 - 75
27n = 114
n = 114/27
n = 38/9
hallando m en (I)
m=(15-3(38/9))/7
m=(15-38/3))/7
m=((45-38)/3)/7
m = (7/3)/7
m = 1/3