Final answer:
The family adopted 8 cats and 5 dogs from the animal shelter, determined by solving a system of linear equations based on the conditions given.
Step-by-step explanation:
The question involves solving a system of linear equations to determine the number of cats and dogs a family adopted from the shelter. Since the family adopted a total of 13 cats and dogs and the number of cats (C) is two less than twice the number of dogs (D), we can write two equations:
To find the solution, we can substitute the second equation into the first:
- (2D - 2) + D = 13
- 3D - 2 = 13
- 3D = 15
- D = 5
Now we know there are 5 dogs. To find the number of cats:
- C = 2(5) - 2
- C = 10 - 2
- C = 8
Therefore, the family adopted 8 cats and 5 dogs.