Solve the System of Equations
Problem: You have a small ranch with chickens and goats. There are 80 heads and 216 legs. Find the number of both chickens and goats.
Write 2 equations
Solve the System ( use the substitution method )
Graph both equations (use Desmos or graph by hand)

Equations:

number of chickens = 52

number of goats = 28

Step-by-step explanation:

Given: A small ranch has chickens and goats

Total number of heads = 80

Total number of legs = 216

To find: number of chickens and goats

To draw: the graph

Solution:

Let x denotes number of chickens and y denotes number of goats.

According to the question,

From (i), put in (ii)

Put in equation (i)

So,

number of chickens = 52

number of goats = 28

side xy = 10

sin(x) = 4/5

cos(x) = 3/5

tan(x) = 4/3

step-by-step explanation: