Chicken and rabbits (classic)

Grandmother bred chickens and rabbits. It found that the yard has 25 heads and 70 legs. How many chickens and rabbits breed in the yard?

Final Answer:

x =  15
y =  10

Step-by-step explanation:


x+y = 25; 2x+4y = 70

x+y = 25
2·x+4·y = 70

x+y = 25
2x+4y = 70

Pivot: Row 1 ↔ Row 2
2x+4y = 70
x+y = 25

Row 2 - 1/2 · Row 1 → Row 2
2x+4y = 70
-y = -10


y = -10/-1 = 10
x = 70-4y/2 = 70-4 · 10/2 = 15

x = 15
y = 10

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