Answer:the number of 2 legged animals in the zoo is 9
the number of 4 legged animals in the zoo is 7
Explanation:
Let x represent the number of 2 legged animals in the zoo.
Let y represent the number of 4 legged animals in the zoo.
There a 46 legs in the exhibit in the zoo. This means that
2x + 4y = 46 - - - - - - - - - -1
There are 2 more 2 legged animals than 4 legged animals. This means that
x - 2 = y
Substituting y = x - 2 into equation 1, it becomes
2x + 4(x - 2) = 46
2x + 4x - 8 = 46
6x = 54
x = 54/6 = 9
Substituting x = 9 into x - 2 = y, it becomes
y = 9 - 2 = 7