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Allushta [10]
3 years ago
11

There are 20 animals in the barn. Some are geese and some are buffalo. There are 64 legs in all. How many of each animal are the

re?
Mathematics
1 answer:
lana66690 [7]3 years ago
7 0

Answer:

20 animals = x chickens (2 legs)  + y horses (4 legs).

x+y=20 (total number of animals)

2x+4y=64 *total number of legs)

x+y=20

x+2y=32

If you solve this system of animal with 2 and 4 legs, you get 6 chickens and 14 horses

x=6

y=14

Try on your own!

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<h3>3 Answers: Choice D, Choice E, Choice F</h3>

============================================================

Explanation:

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Graph the line y = (3/5)x - 9/10 and make this a solid line. The boundary line is solid due to the "or equal to" as part of the inequality sign. We shade below the boundary line because of the "less than" after we isolated for y.

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We can verify this algebraically. For instance, if we weren't sure point E was  a solution or not, we would plug the coordinates into the inequality to get...

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Since we end up with a true statement, this verifies point E is one of the solutions. I'll let you check points D and F.

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I'll show an example of something that doesn't work. Let's pick on point A.

We'll plug in (x,y) = (-1,1)

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