Dwayne's family has many pets. at the house they have both cats and birds. between all the cats and birds, they have 16 eyes and 22 legs. how many birds does dwayne's family have?

Let C be the number of cats and B be the number of birds.

Each cat has 4 legs while each bird has 2 legs. Thus,

4C + 2B = 22

2B = 22 - 4C

Each cat and each bird has 2 eyes

2C + 2B = 16

Substituting 2B

2C + 22 - 4C = 16

2C = 6

C = 3

2B = 22 - 4 (3)

B = 5

2 cats and 5 birds