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An animal shelter has a combination of cats and dogs. The number of dogs is two less than twice the number of cats. There is a total of 25 animals currently in the shelter, which system of equations represents x, the number of cats is y, the number of dogs in the shelter

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Represent the number of dogs as x

Then, the number of cats is (x+2) x 2 = 2x + 4 (the number of dogs is two less than twice the number of cats -> the number of cats is 2 more than twice the amount of dogs)

There is a total of 25 animals -> 2x + 4 + x = 25
Simplify as 3x + 4 = 25
3x = 25 - 4 = 21
x = 21/3 = 7

So, there are 7 dogs, and 25-7 = 18 cats.

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