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

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

Mathematics
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can you do the distributive part first?
(it will make the flow easier and I can check your work)
2x – 3y + 4xy + 5x

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2x – 3y + 4(x – y) + 5x What you you get after you apply the distributive property to 4(x – y)?
but after that what property do I use? commumative, associative?
You did not distribute correctly
First thing, which is what Direct pointed out. So let's revisit that first
Do you understand the link?
oh so it would be 2x – 3y + 4x- 4y + 5x? @fibonaccichick666 @directrix
yea good
and then after what property would I use and could u show me
so now, what is our goal?
do I use associative property next? or commumative
well, first, what is our goal?
combine like terms? @FibonacciChick666
yea, so does commutative or associative allow you to move terms around?
commumative
(get all the like terms in one place is another way to say our goal)
Good! so, go ahead, make it so
so 2x - 4x + 5x+ 3y + 4y?
why is it -4x?
and +3y?
i dont know how to put it @FibonacciChick666
what do you mean? you just moved the terms around. You have to move the whole term, not just part of it
i dont understand.. how do you change it around? @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
2x – 4x + 5x- 4y + 3y?
did you have a -4x before you moved stuff around? Did you have a +3y?
+3y
What's that mean?
full sentences please. Or at least semi-full fragments
I had +3y @FibonacciChick666
I don't see a +3y, can you point it out? \[''2x – 3y + 4x- 4y + 5x?"\]
right after the 2x there's a 3y
I don't see a plus sign in front of it
oh its negative 3?
yea
commutative only works for addition so technically its +(-3y)
but so long as you bring the negative along for the ride, that's too many symbols to write all the time
so what is i t 2x + 4x- 5x 4y -3y? @FibonacciChick666
or could just explain it and right it down
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
2x + 5x?
you have to write the whole thing, you can't just leave off the rest
2x + 5x + 4x - 4y - 3y?
multiple steps, but yes
so the equation is right?
not simplified yet, but correct to this point
so added up it becomes 11x - 1y? @FibonacciChick666
what's a negative plus a negative?
a positive
11x1y?
no... thats times not addition
what is -6+-7
-14?
close, that would be -7+-7
-13 * sorry lol
I thought it might be a type-0
so what is -4y-3y
but isnt this subtracting not adding?
aka -4y+-3y
There is no such thing as subtraction or division actually
it wouldbe -7y
there we go
so final answer is?
11x - 7y?
yep
:)

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