Question

How many solutions does the equation 4n + 6 = 4 + 2 + 4n have?

Two
Infinitely many
None
One

Answer 1

@Gucchi what happens if you subtract \(4n\) from both sides?

Answer 2

What do you mean?

Answer 3

I can't figure it out

Answer 4

Have you tried subtracting \(4n\) from both sides?

Answer 5

I did try. I can't seem to get the answer tho

Answer 6

What was the result when you subtracted 4n from both sides? Mind posting it here?

Answer 7

I can't post it because i am on a desktop right now and it doesnt have a cam. I couldn't figure it out when i tried doing it. I'm very confused.

Answer 8

Gucchi are you still taking the exam?

Answer 9

No, this is my homework. I finished the exam. I got a score of 95%

Answer 10

Nice, good job

Answer 11

Exam? What?

Answer 12

I was taking an exam a while back.

Answer 13

Hmm

Answer 14

Can @Gucchi finish that?

Answer 15

Let me try

Answer 16

6n on both sides when subtracting by 4n?

Answer 17

If you subtract 4n on both sides, how do you end up with 6n on both sides? Can you show your work?

Answer 18

I added 4n + 6 and i got 10n. I then added 4n + 2 + 4 and i got 10n. I subtracted 10n - 4n on both sides and i got 6n. I don't know if i did it right.

Answer 19

@Hero

Answer 20

You can only add two numbers together if they are like terms (meaning they have the same variable). Does 4n and 6 have the same variable?

Answer 21

No, it doesn't

Answer 22

Exactly.

Answer 23

It really doesn't matter in what order you try to solve the problem, you should end up with the same number on both sides. What does that imply?

Answer 24

I'm not sure. I'm feel so dumb ):

Answer 25

Let's start small. What is 4 + 2?

Answer 26

6

Answer 27

Okay so performing that operation yields 4n + 6 = 6 + 4n

Answer 28

Okay

Answer 29

Can you draw any conclusions from there?

Answer 30

Let's do this: What happens if n = 1?

Answer 31

it would be 4 x 1?

Answer 32

Okay and what is the resulting equation?

Answer 33

4n?

Answer 34

If n = 1, then

4(1) + 6 = 6 + 4(1)

Answer 35

Oh yh yh

Answer 36

Can you continue to simplify it from there?

Answer 37

Okay

Answer 38

4 + 6 = 6 + 4

Answer 39

Do you add the "n"

Answer 40

Nope. you just add the 4 and 6

Answer 41

And what is the resulting equation?

Answer 42

10 = 10

Answer 43

Very good. Now what happens if n = 2?

Answer 44

Then it would be 10(2) = 10(2)?

Answer 45

Correct. And what is the resulting equation?

Answer 46

20 = 20

Answer 47

Very good. Now let n = any random number. What is the result?

Answer 48

20(5) = 20(5). 100 = 100

Answer 49

Again you get the same number on both sides. What happens if n = 1000? Do we get the same thing on both sides?

Answer 50

Yes, you do.

Answer 51

So which option is correct?

Answer 52

100(1000) = 100(1000) 100,000 = 100,000

Answer 53

so which option is correct?

Answer 54

For my question right?

Answer 55

2nd option

Answer 56

It makes the most sense

Answer 57

Correct finally.

Answer 58

I finally get it

Answer 59

Thanks so much!