Simplify the following expression using the distributive property:
2x – 3y + 4(x – y) + 5x
What property do I use after the distributive?

- Bossimbacon

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- FibonacciChick666

can you do the distributive part first?

- FibonacciChick666

(it will make the flow easier and I can check your work)

- Bossimbacon

2x – 3y + 4xy + 5x

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## More answers

- Bossimbacon

@FibonacciChick666

- Directrix

2x – 3y + 4(x – y) + 5x
What you you get after you apply the distributive property to 4(x – y)?

##### 1 Attachment

- Bossimbacon

but after that what property do I use? commumative, associative?

- FibonacciChick666

You did not distribute correctly

- FibonacciChick666

First thing, which is what Direct pointed out. So let's revisit that first

- FibonacciChick666

Do you understand the link?

- Bossimbacon

oh so it would be 2x – 3y + 4x- 4y + 5x? @fibonaccichick666 @directrix

- FibonacciChick666

yea good

- Bossimbacon

and then after what property would I use
and could u show me

- FibonacciChick666

so now, what is our goal?

- Bossimbacon

do I use associative property next? or commumative

- FibonacciChick666

well, first, what is our goal?

- Bossimbacon

combine like terms? @FibonacciChick666

- FibonacciChick666

yea, so does commutative or associative allow you to move terms around?

- Bossimbacon

commumative

- FibonacciChick666

(get all the like terms in one place is another way to say our goal)

- FibonacciChick666

Good! so, go ahead, make it so

- Bossimbacon

so 2x - 4x + 5x+ 3y + 4y?

- FibonacciChick666

why is it -4x?

- FibonacciChick666

and +3y?

- Bossimbacon

i dont know how to put it @FibonacciChick666

- FibonacciChick666

what do you mean? you just moved the terms around. You have to move the whole term, not just part of it

- Bossimbacon

i dont understand.. how do you change it around? @FibonacciChick666

- FibonacciChick666

you literally just pick up term and move it. Like moving blocks on the floor when you were a kid. Let's say you had blue, red, yellow block. in that order, but you wanted red before blue, so you pick up the red block and move it in front of the blue or you pick up the blue bock and put it behind the red. Make sense? Now your blocks are terms (+4x or -4y etc) Just move them like you would blocks

- Bossimbacon

2x – 4x + 5x- 4y + 3y?

- Bossimbacon

@FibonacciChick666

- FibonacciChick666

did you have a -4x before you moved stuff around? Did you have a +3y?

- Bossimbacon

+3y

- Bossimbacon

@FibonacciChick666

- FibonacciChick666

What's that mean?

- FibonacciChick666

full sentences please. Or at least semi-full fragments

- Bossimbacon

I had +3y @FibonacciChick666

- FibonacciChick666

I don't see a +3y, can you point it out?
\[''2x – 3y + 4x- 4y + 5x?"\]

- Bossimbacon

right after the 2x there's a 3y

- FibonacciChick666

I don't see a plus sign in front of it

- Bossimbacon

oh its negative 3?

- FibonacciChick666

yea

- FibonacciChick666

commutative only works for addition so technically its +(-3y)

- FibonacciChick666

but so long as you bring the negative along for the ride, that's too many symbols to write all the time

- Bossimbacon

so what is i t 2x + 4x- 5x 4y -3y? @FibonacciChick666

- Bossimbacon

or could just explain it and right it down

- FibonacciChick666

this is your equation :
\[2x – 3y + 4(x – y) + 5x=2x – 3y + 4x –4 y + 5x\]
Now starting from there. Move the +5x to a better spot

- Bossimbacon

2x + 5x?

- FibonacciChick666

you have to write the whole thing, you can't just leave off the rest

- Bossimbacon

2x + 5x + 4x - 4y - 3y?

- FibonacciChick666

multiple steps, but yes

- Bossimbacon

so the equation is right?

- FibonacciChick666

not simplified yet, but correct to this point

- Bossimbacon

so added up it becomes 11x - 1y? @FibonacciChick666

- FibonacciChick666

what's a negative plus a negative?

- Bossimbacon

a positive

- Bossimbacon

11x1y?

- FibonacciChick666

no... thats times not addition

- FibonacciChick666

what is -6+-7

- Bossimbacon

-14?

- FibonacciChick666

close, that would be -7+-7

- Bossimbacon

-13 * sorry lol

- FibonacciChick666

I thought it might be a type-0

- FibonacciChick666

so what is -4y-3y

- Bossimbacon

but isnt this subtracting not adding?

- FibonacciChick666

aka -4y+-3y

- FibonacciChick666

There is no such thing as subtraction or division actually

- Bossimbacon

it wouldbe -7y

- FibonacciChick666

there we go

- FibonacciChick666

so final answer is?

- Bossimbacon

11x - 7y?

- FibonacciChick666

yep

- FibonacciChick666

:)

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