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Simplify by combining like terms. Type the terms in alphabetical order. -5y+9x+9y+5x=

Simplify by combining like terms. Type the terms in alphabetical order. -5y+9x+9y-example-1

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Answer: 14x+4y

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Step-by-step explanation:

x is a variable or placeholder for a number. Think of it like a box.

1x = 1 box

2x = 2 boxes

and so on

9x = 9 boxes

5x = 5 boxes

9x+5x = 9 boxes + 5 boxes = 14 boxes = 14x

So that's one way to see how 9x+5x = 14x.

Or you could add the coefficients 9 and 5 to get 9+5 = 14. Then tack an x onto everything.

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The y terms are handled in a similar fashion.

-5y + 9y = 4y

which is the same as

9y - 5y = 4y

You could think of it like this

(9 yaks) - (5 yaks) = 4 yaks

So we started with 9 yaks and took away 5 of them to be left with 4 yaks.

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After getting the results 14x and 4y. We would then have the final answer 14x+4y

The x and y terms cannot be combined since they are not like terms. So we leave that expression as is.

User Vic Torious
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