Stable people count

There are nurses and horses in the stable. George calculated that they have 11 heads and 36 all legs. How many people are in the stable?

Final Answer:

x =  4

Step-by-step explanation:


x+y = 11
2x + 4y = 36

x+y = 11
2·x + 4·y = 36

x+y = 11
2x+4y = 36

Pivot: Row 1 ↔ Row 2
2x+4y = 36
x+y = 11

Row 2 - 1/2 · Row 1 → Row 2
2x+4y = 36
-y = -7


y = -7/-1 = 7
x = 36-4y/2 = 36-4 · 7/2 = 4

x = 4
y = 7

Our linear equations calculator calculates it.



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