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C + G = 35 ......1
4C + 2G = 116......2
multiplicas el 1 por -2
-2C - 2G = -70
4C + 2G = 116
2C + 0 = 46
C = 46:2
Cerdos = 23
y para las gallinas reemplazas
C + G = 35
23 + G =35
G = 35 - 23
Gallinas = 12
Espero lo entiendas y que te sirva :D