You are given the following system.x=2y+42x-3y=11 What method would you use to solve this system?

Mathematics

1 answer:

qwelly [4]4 years ago

7 0

Answer:

substitution

Step-by-step explanation:

We assume the two equations are ...

x = 2y+4
2x -3y = 11

You are given an expression for x. Using that in the second equation will result in an immediate solution for y.

... 2(2y+4) -3y = 11 . . . . . substituting 2y+4 for x

.. y +8 = 11

... y = 3

... x = 2·3 +4 = 10

The solution is (x, y) = (10, 3)

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A pet owner has 5 cats. Each cat has 2 ears and 4 paws. Complete the double number line to show the numbers of ears and paws for

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If there are 3 cats in the room, what is the ratio of ears to paws? 1 : 2

If there are 4 cats in the room, what is the ratio of paws to ears? 2 : 1

If all 5 cats are in the room, how many more paws are there than ears? the number of paws is twice as more than the number of ears, we have 10 more paws than ears.

Step-by-step explanation:

You can see the double number line for this situation in the attached photo.

So as we can see in the double number line diagram, if there are 3 cats in the room we would have an ears to paws ratio of 6 : 12 , which simplified would be 1 : 2, meaning that for every ear there are 2 paws.

For the next question, if there are 4 cats in the room, the paws to ears ratio would be 16 : 8, simplified to 2 : 1, meaning that for every 2 paws there is 1 ear.

And for the last question, if all 5 cats are in the room, we have that the paws to ears ratio is 20 : 10, simplified again to 2 : 1, meaning the number of paws is twice as more than the number of ears, so in this case we have 10 more paws than ears.