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x = precio libros
y = precio rotuladores
3x + 2y = 25
x + 2y =9
Resuelves:
x = 9 - 2y
3(9 - 2y) + 2y = 25
27 - 6y +2y =25
27 - 25 = 6y - 2y
2 = 4y
2/4 = y = 1/2
x = 9 - 2(1/2) = 9 - 1
x = 8
Los libros cuestan $8 y los rotuladores $0.50
2.
x = número de chanchos
y = número de gallinas
Cabezas: x + y = 1610
Patas: 4x + 2y = 5152
Resuelves:
x = 1610 - y
4x + 2y = 5152 --> Simplificas: 2x + y = 2576
2x + y = 2576
2(1610 - y) + y = 2576
3220 - 2y + y = 2576
3220 - 2576 = 2y - y
644 = y
x = 1610 - y = 1610 - 644
x = 966
Hay 966 cerdos y 644 gallinas
Saludos!