a cat and dog shelter houses 23 animals there are 5 more cats x and dogs y write and solve a system of linear equations to find the number to cats and dogs in the shelter

cats + dogs = 23

x + y = 23

x = 14

14 cats and 9 dogs

There would be 14 cats and 9 dogs

Step-by-step explanation:

In order to find the amount of cats and dogs, we need to set up the system of equations. To do so, start by setting cats as x and dogs as y. Now we can write the first equation to show the total number of animals.

cats + dogs = 23

x + y = 23

Now we can write a second one that shows the difference in the number of cats and dogs.

cats - dogs = 5

x - y = 5

Now we can add the two equations together to solve for x.

x + y = 23

x - y = 5

2x = 28

x = 14

Now that we have the number of cats, we can find the number of dogs by using either equation.

x + y = 23

14 + y = 23

y = 9