Simplify 6(x + y) + (x - y).

- anonymous

Simplify 6(x + y) + (x - y).

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- anonymous

@AG23 not a option

- Tommynaut

Expand the brackets. What do you get?
Then, collect like terms.
I'll give you a similar example.
4(x-y) + (x-2y)
= 4x - 4y + x - 2y
= 4x + x - 4y - 2y
= 5x - 6y
Try using a similar approach for your question

- anonymous

Distribute 6(x-y)

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## More answers

- anonymous

6(x+y)*

- anonymous

i dont no how to do the whole adding and subtracting letters thing without the little guide

- anonymous

7x+5y

- anonymous

explain?

- UsukiDoll

please refrain from giving direct answers as it is against OpenStudy's Code of Conduct. The purpose of this site is to guide the user to answering their question.

- triciaal

to expand the brackets and to distribute means the same thing.
multiply the term outside by each term inside
follow the example given by @ Tommynaut above

- Tommynaut

You can add and subtract letters (also known as pronumerals or variables) that are the same.
For example, I can't do anything with x + 2y, because the letters are different!
How about 2x + 3x? The letters are the same! So, we just add the COEFFICIENTS (the numbers that are next to and multiplied with the letters) together.
So, for 2x + 3x, we do 2+3 = 5.
So 2x + 3x = 5x. Remember to keep the x!

- anonymous

So basically 6(x+y).
Is the same as
(6x)+(6y)
Do you get it now?

- anonymous

Simplifying
6(x + y) + (x + -1y)
(x * 6 + y * 6) + (x + -1y)
(6x + 6y) + (x + -1y)
Remove parenthesis around (x + -1y)
6x + 6y + x + -1y
Reorder the terms:
6x + x + 6y + -1y
Combine like terms: 6x + x = 7x
7x + 6y + -1y
Combine like terms: 6y + -1y = 5y
7x + 5y
So like this? @UsukiDoll sorry Im new

- Tommynaut

It's sort of like saying, let x mean balls.
I have 2 balls, and another 3 balls. That means I have 2 balls + 3 balls, which is 5 balls.

- anonymous

there is no other number for me to do that with..... (ex: the whole (x-y) thing is confusing because i dont no what to do about it)

- anonymous

@Tommynaut i do understand what you are doing though

- UsukiDoll

@Frascamr it's ok... but please refer to this website for more information about the code of conduct. http://openstudy.com/code-of-conduct
As for the explanation. I think it's ok, but a bit too much. try step by step :)

- triciaal

when you don't see the number it is understood the number is 1

- anonymous

oh

- Tommynaut

Imagine that there's a 1 outside (x-y), because really, 1 is multiplied by everything all the time. The number 6? Yeah, that's just 6 times 1.
So (x-y) can be thought of as 1(x-y), which, if you expand the brackets, just gives you x - y

- anonymous

i got 5x + 4Y which i no is wrong because it isnt a option

- Tommynaut

Ok, let's go through step-by-step.
So we start with...
6(x + y) + (x - y). Now what? Let's expand the brackets. Do you know how to do that?

- anonymous

yea you put it as 6x - 6y + 1x - 1y ....... i think

- UsukiDoll

everything is right so far except the sign for 6(x+y)

- anonymous

ops

- Tommynaut

Almost! But it's 6x + 6y, not 6x - 6y, where did the negative sign come from?

- UsukiDoll

typos can happen XD

- anonymous

i had wrote it on the original problem then marked it out and then did it again on the second one >.<

- UsukiDoll

6x + 6y + x - y . now combine like terms

- anonymous

oh now i see the answer well at least half 7x unless 7x is the answer

- UsukiDoll

you can rearrange the equation to make the computation easier
6x + x + 6y - y .

- anonymous

12xy?

- UsukiDoll

nooooooooooo... we just combine like terms. we can't combine x and y together

- anonymous

so just 12?

- anonymous

oh i no what you meant

- UsukiDoll

6x + x + 6y - y
I'm going to factor out the variables to make it easier
x(6+1)+y(6-1)

- anonymous

6x + 6y

- anonymous

7x + 7y

- UsukiDoll

almost... x is correct y isn't
what's 6-1

- anonymous

5

- UsukiDoll

yes so we have 5y
so our answer is 7x+5y

- anonymous

oh okay

- anonymous

thanks

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