Question

Simplify the following expression: (x + 6y) - (3x − 10y). If the final answer is written in the form Ax + By, what is the value of A? Only enter the numeric value.

Answer 1

First, get rid of the parentheses. And remember that in getting rid of parentheses when there's a negative sign outside to the left [as is the case in -(3x - 10y) ]
Then upon getting rid of the parentheses, change the sign of all the terms inside... positives become negative, negatives become positive.

Answer 2

ok

Answer 3

So... do it...? :)

Answer 4

so it would be so far x-6y+3x+10y??

Answer 5

3x was positive when it was inside the parentheses... remember, no sign means positive :P

Answer 6

ohh

Answer 7

And why did you change the sign of 6y?
It was not inside the parentheses with a negative sign outside

Answer 8

because you said change positive to negative

Answer 9

Yes, but only inside the parentheses with a minus sign outside ...
the -(3x - 10y)

Answer 10

so x+6y+3x+10y

Answer 11

tere means if you have -(3x − 10y) then this is the same as
-1 * (3x - 10y)

you can distribute the -1, which means multiply -1 times each term inside the parens

-1 * (3x - 10y)
becomes
-1*3x + -1* -10 y
simplify

Answer 12

Why is 3x still positive?
It WAS positive before you removed the parentheses...

Answer 13

crap sorry i see

Answer 14

-3x+10y

Answer 15

So, combine?

Answer 16

how

Answer 17

you now have
x+6y-3x+10y

do the y's first: if you have 6 y's and add 10 more y's how many y's do you have ?

Answer 18

then do the x's

you have 1 x and take away 3 x's
how many x's do you have ?

Answer 19

16y

Answer 20

-2x+16y??

Answer 21

x+6y-3x+10y

first rule of addition of terms in algebra, ONLY similar terms may be combined.

By similar, I mean they have the exact same set of variables attached to them.

An example...
8a + 4b - 2a + 3b

Add the 'a's' together, you get 8a - 2a = 6a
Add the 'b's' together, you get 4a + 3b = 7b.

So the answer here is 6a + 7b

Answer 22

Oh, seems you got it already :)

Answer 23

so thats what i put as my answer

Answer 24

So, finally what's the value of A in that simplified form?

Answer 25

6A

Answer 26

Where did you get that? :/

Answer 27

i thought you just put that

Answer 28

no, that was an example.

Answer 29

is A=x

Answer 30

Look at it... it says reduce it to a form
Ax + By
yes?

Answer 31

No.A is not x.

Answer 32

yup

Answer 33

ok

Answer 34

What was your expression in its final form?

Answer 35

-2x+16y

Answer 36

you found
(x + 6y) - (3x − 10y) is -2x+16y

they want you to match your answer to
written in the form Ax + By

A is the number in front of the x

Answer 37

Well, you were asked to reduce it to the form
\[\Large \color{red}{A}x+\color{blue}By \]

And you arrived at
\[\Large \color{red}{-2}x + \color{blue}{16}y\]

What must be A?

Answer 38

-2 is A so that is my answer -2

Answer 39

they are saying your answer will be
some number times x + another number times y

Answer 40

yes

Answer 41

ok thanks i have a similar one can you guys help me

Answer 42

you should make it a new post

Answer 43

ok