Di dalam kandang terdapat kambing dan ayam sebanyak 10 ekor. Jika jumlah kaki hewan tersebut 34 ekor, maka jumlah kambing dan ayam masing-masing adalah.... 7 dan 3 4 dan 6 2 dan 8 10 dan 2 9 dan 1

Let $k$ be the number of goats (kambing) and $a$ be the number of chickens (ayam).
From the problem, we have two pieces of information:

1. The total number of animals is 10.

$$k + a = 10 \quad (1)$$

2. The total number of legs is 34. Goats have 4 legs, and chickens have 2 legs.

$$4k + 2a = 34 \quad (2)$$

We can use the elimination method. Multiply equation (1) by 2 to make the coefficient of $a$ the same as in equation (2):

$$2(k + a) = 2(10)$$ $$2k + 2a = 20 \quad (3)$$

Now, subtract equation (3) from equation (2):

$$(4k + 2a) - (2k + 2a) = 34 - 20$$ $$2k = 14$$ $$k = \frac{14}{2}$$ $$k = 7$$

$$7 + a = 10$$ $$a = 10 - 7$$ $$a = 3$$

So, there are 7 goats and 3 chickens.

The number of goats is 7 and the number of chickens is 3. This matches the first option.

The final answer is $\text{7 dan 3}$.