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a + b = 5
a=5-b
remplazamos a en la 2da ecuacion:
2a+6b=22
2(5-b) + 6b = 22
10-2b +6b= 22
10 + 4b = 22
4b = 22-10
4b=12
b= 3
entonces solo remplazamos en cualkier ecuacion
3a + 3b = 15
3a + 3 (3)= 15
3a= 15-9
3a= 6
a= 2
ya hallamos el valor de a =2 y b = 3