#### Answer

There are 14 goats and 9 chickens.

#### Work Step by Step

1) g + c = 23
2) 4g + 2c = 74
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First of all lets multiply equation 1 by 2. Doing so will result in 2g + 2c = 46.
Now lets subtract equation 1 from equation 2.
4g +2c = 74
-(2g +2c = 46)
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2g =28
Lets divide both sides by 2.
g= 14
This method is called the method of elimination.
We have found the number of goats. Now to find number of chickens we just need to simply plug in 14 for g in either equation 1 or 2.
14 +c = 23
c = 23-14
c = 9