Answer:
x=8, y=7
Step-by-step explanation:
Lets keep x as the number of chickens and y as the number of horses.
Since each horse has 4 legs and each chicken has 2 legs we get our first equation to be
2x+4y=44
This is because we need to multiply the number of chickens times 2 to get the number of chicken legs, and same for the horses except 4 because they have 4 legs.
the second equation is
x+y=15
next we can use the substitution method to solve.
First we solve for x
x+y=15
x=15-y
We can substitute this into the first equation
2x+4y=44
2(15-y)+4y=44
30-2y+4y=44
30+2y=44
2y=14
y=7
Now we can substitute this into the original equation, x+y=15 and get the equation x+7=15, x=8
The final answer is x=8, y=7