Question

43=7w-15-5w i know im asking questions a lot but i have to because i am too far behined and dont get it

Answer 1

So it looks like the first step you should take is to combine like terms. Such as the 7w and the -5w. Do you understand how to do that?

Answer 2

yes

Answer 3

Ok, so what do you get after you combine those terms? What does the equation look like?

Answer 4

well i know im supposed to find out what W is...but it would be 2w right

Answer 5

Yup. Which means your equation would look like \(43=2w-15\) right? Does that make sense so far?

Answer 6

yes thanks

Answer 7

Ok, so do you know what to do next?

Answer 8

multiply 43 by both sides?

Answer 9

That would yield \(43*43=43*(2w-15)\)... that seems to be more complicated. Not less complicated. Let's try something else.

What's your next idea?

Answer 10

Multiply 15 by both sides? Im really stupid hahaha so yeah

Answer 11

You are correct that we want to do something with the 15, but multiply isn't quite it. We want to get rid of the \(-15\) on the right hand side. Make it completely disappear (or equal zero - either way you want to think about it).

Answer 12

okay got it

Answer 13

Alright, so what are you going to do?

Answer 14

so what we do to one side we do to the other

Answer 15

Well, yes, but what can we do to both sides to make the 15 disappear?

Answer 16

divide

Answer 17

Nope. It's a \(-15\), so we should add 15 to both sides.

Answer 18

oh okay

Answer 19

\(43=2w−15\)
\(+15\) \(+15\)

Answer 20

What does that make?

Answer 21

if its on one side then 58=2w right

Answer 22

You got it, boss. So now you're left with \(58=2w\). Any idea about how to find \(w\)?

Answer 23

im guessing multipication...

Answer 24

Sorry, but no. Division, actually.

When you're working with these, generally addition and subtraction are used for moving things from one side of the equation to the other and multiplication is used to *attach* numbers to variables/letters and division is used to *separate* numbers from variables/letters. Make sense?

Answer 25

Yes:)

Answer 26

Ok, so how would you finish out this problem?

Answer 27

would W be 29?

Answer 28

It is indeed! :) Excellent job!

Answer 29

Thank you so much:)

Answer 30

Not a problem, happy to help! Please do note that it is nice to award a medal to me if you thought I had the best answer. It's a way to say "Thanks" to the user who helps you out the most.

Answer 31

Thanks:)