- anonymous

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

- schrodinger

See more answers at brainly.com

At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga.
Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus.
Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

Get this expert

answer on brainly

SEE EXPERT ANSWER

Get your **free** account and access **expert** answers to this

and **thousands** of other questions

- 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)

Looking for something else?

Not the answer you are looking for? Search for more explanations.

## 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

Looking for something else?

Not the answer you are looking for? Search for more explanations.