Question

CON EL METODO DE IGUALACION PORFA
7m+3n=15
5m+6n=27

Answer 1

metodo de igualacion:

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

Answer 2

metodo de igualacion:

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