Answer:
(9, 6)
Step-by-step explanation:
With 15 animals in total, the equation for the number of animals is
x + y = 15 with x for cows and y for roosters.
With 48 legs in total, the equation for the number of legs is
4x + 2y = 48 with x for cows and y for roosters. The numbers in front of each variable represent the number of legs each animal has.
Set the first equation equal to y.
y = 15 - x
Substitute this equation into the second equation and solve.
4x + 2y = 48
4x + 2(15 - x) = 48
4x + 30 - 2x = 48
2x + 30 = 48
2x = 18
x = 9
Substitute this value into the first equation and solve.
x + y = 15
9 + y = 15
y = 6
The solution is (9, 6).
