There are 17 heads and 42 legs in the same cage. How many chickens and rabbits are there?

There are 17 heads and 42 legs in the same cage. How many chickens and rabbits are there?

Suppose there are x chickens and Y rabbits
X+Y=17 2X+4Y=42
The solution is x = 13, y = 4
A: there are 13 chickens and 4 rabbits

There are 17 heads and 42 legs in the same cage. How many chickens and rabbits do you have
There are 17 heads and 42 legs in the same cage. How many chickens and rabbits are there?
The first chicken, the first rabbit, the first leg
17 13 4 42
17 42
”How to fill in the blank?

There were x chickens and Y rabbits
According to the meaning of the title
x+y=17
2x+4y=42
The solution is x = 13, y = 4
Method 2
Assuming that all 17 chickens are chickens, the number of legs is 17 * 2 = 34,
If a rabbit has two more legs than a chicken, the number of extra legs is x * 2,
Namely: 42-34 = 2x
x=4
So there are 4 rabbits and 17-4 = 13 chickens
PS: after looking at the answers above, we only use two methods to solve the problem, one is the equation of one variable and the other is the equation of two variables, not from two angles

There are 8 heads and 20 legs in the same cage. How many chickens and rabbits are there?
How did six chickens and two rabbits come from

Eight heads means eight
If all eight are chickens, there are 8 * 2 = 16 legs
Every time a chicken is turned into a rabbit, it will add two legs
（20-16）/2=2
That means we need to turn two chickens into rabbits
So there are six chickens and two rabbits