Question

Fill in the blanks with the reasons for the following proof; prove that -(x+y)+x=-y

Answer 1

Theres a chart on the left says statements on the right says rea under statement it says number 1) -(x+y)+x=-x+(-y)+x and it asking for reason

Answer 2

theres 2), 3), 4) i need to fill in

Answer 3

@phi

Answer 4

2)it says =-x+x+(-y) 3)=0+(-y) and number 4)=-y

Answer 5

@freckles

Answer 6

do you know any properties/laws?
such as distributive law, commutative property, associative property, additive inverse property....

Answer 7

i think the first one is commutative

Answer 8

commutative property says it is okay to change the order of terms...
so are you saying in the first step they did something like write a+b as b+a

Answer 9

no

Answer 10

what is the one in changing parenthesis

Answer 11

can you state what the distributive law says?

Answer 12

ok then thats the one it dont matter where the paranthesis are

Answer 13

2) i just need to change signs right?

Answer 14

change signs?

Answer 15

1) is distributive right?

Answer 16

well what do you think the distributive law says?

Answer 17

u distribute stuff

Answer 18

a(b+c)=?

Answer 19

ab+ac right?

Answer 20

yes

Answer 21

yes a(b+c)=ab+ac is the distributive law
isn't that the same thing that happened here:
-1(x+y)=-1x+(-1y) or you can also write as
-(x+y)=-x+(-y)

Answer 22

k thanks what about 2 i have to finish filling in number and put reason i think i change the signs and its additive inverse property

Answer 23

change the signs? what do you mean by that?

Answer 24

2) shows _____________=-x+x+(-y)

Answer 25

-x+(-y)+x
look what happened to the terms; look at the locations of the terms;
-x+x+(-y)

Answer 26

ok they move them around

Answer 27

what property says it is okay to change the order of the terms

Answer 28

what numbers do i fill in though

Answer 29

numbers?

Answer 30

I don't know what numbers you mean

Answer 31

I thought we are just giving the reasons

Answer 32

communitive

Answer 33

right commutative property

Answer 34

i have to give the reasons the first one they filled in the numbers the next 3 i have to fill in the first part to make it = what it says

Answer 35

the first one is done for me says -(x+y)+x=-x+(-y)+x

Answer 36

The second one shows _______________=-x+x+(-y)

Answer 37

third one ____________________=0+(-y)

Answer 38

fourth one _____________________=-y

Answer 39

i have to fill in the first part of each

Answer 40

do u see now?

Answer 41

is it hard because it is foir me?

Answer 42

do u know how to do it?

Answer 43

@FibonacciChick666

Answer 44

Didn't we do this already?

Answer 45

its a different one

Answer 46

for the second one do i move the parethensis?

Answer 47

http://openstudy.com/study#/updates/56270c1ae4b09cb8ec242ea6

Answer 48

-(x+y)+x=-y

Answer 49

so what is your first step and why?

Answer 50

im confused

Answer 51

ok, where and why?

Answer 52

they moved the parenthesis

Answer 53

did we do this already i cant find it?

Answer 54

oh, I did it with jinxhead

Answer 55

ok

Answer 56

alright. Let's start with the crappy chart

Answer 57

@FibonacciChick666 he said something about typing in numbers also ...do you have any idea what he means?

Answer 58

I thought we were just suppose to give reasons for each of the steps...

Answer 59

so, this idiocy is a two column proof that looks like this. The other person who did this had no idea how to fill it in either.... smh

Answer 60

ok, so the whole thought for this is how do I fill in the chart. What does each number mean

Answer 61

@narissa I don't see any place in that table to put numbers... So what numbers are you talking about typing in?

Answer 62

it is like that but 1)-(x-y)+x=-x+(-y)+x i put distributive and number 2) i have to fill in the first part______=-x+x+(-y)

Answer 63

im just confused

Answer 64

I'm pretty sure @FibonacciChick666 is right all you have to do is put the reason for each step

Answer 65

we already talked about distributive law and commutative property

Answer 66

ok, so here is how the chart works. #1 on reasons, is given. Always. #2 reason is how you go from step 1 to step 2

Answer 67

what property mentions -x+x=0

Answer 68

#3 reason is how you go from step 2 to step 3

Answer 69

etc

Answer 70

So number two under reasons is distributive property because to go from step one to step two I used the distributive property.

Answer 71

can you fill in 3-5?

Answer 72

ok so 1 is distributive 2 is commutative 3 inverserse and 4 is identity

Answer 73

theres only 1-4

Answer 74

that is 2-5

Answer 75

no, remember what I said 1 always is? There is no step zero, so we can't have a property

Answer 76

but if that is 2-5, then yes