There are 21 animals on farmer cole’s farm — all sheep and chickens. if the animals have a total of 56 legs, how many of each type of animal lives on his farm? write a system of equations, and use the equal values method to solve it.

sheep usually have 4 legs each

chickens usually have 2 legs each

if c=number of shep and s=number of chickents, then c+s=21

total legs is 56, so 2c+4s=56

system of equations is c+s=21 and 2c+4s=56

equal values method? why do they have to keep changing names, it doesn't sound like subsitution so I'm assuming they mean linear combinations

c+s=21

2c+4s=56

multiply first equation by -2 and add to 2nd equation

-2c-2s=-42

2c+4s=56 +

0c+2s=14

2s=14

divide by 2

s=7

sub back

c+s=21

c+7=21

c=14

14 chickens and 7 sheep

x=0

step-by-step explanation:

solve systems of equations by graphing. a system of linear equations contains two or more equations e.g. y=0.5x+2 and y=x-2. the solution of such a system is the ordered pair that is a solution to both equations. to solve a system of linear equations graphically we graph both equations in the same coordinate system