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garri49 [273]
3 years ago
13

A cat and dog shelter houses 23 animals that are 5 more cats than dogs y. Write and solve a system of linear equations to find t

he number of cats and dogs in the shelter.
SOMEONE PLZ HELP!!
Mathematics
1 answer:
dybincka [34]3 years ago
5 0

Answer:

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

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