Use the substitution method.

In this years bird census, the total number of eagles and condors counted 480. Last year 5 times as many condors and 9 times as many eagles were counted for a total of 3260 birds. How many of each type of bird was counted this spring?

E=number of eagles

c=number of condors

ttoal is 480

c+e=480

5 times as many condors and 9 times as many eagles totals 3260

5c+9e=3260

we have

c+e=480

5c+9e=3260

eliminateion

elmiminate c

times first equation by - 5

-5c-5e=-2400

add to other equation

-5c-5e=-2400

5c+9e=3260 +

0c+4e=860

4e=860

divide both sides by 4

e=215

sub back

c+e=480

c+215=480

minus 215 from both sides

c=265

thiis spring is

265 condors

215 eagles