Question

State all the solutions to |x-1| = 5x+2

Answer 1

Do you know how to solve |x|=5?

You have two equations to solve x=5 or -x=5


If you had |x-1|=5?
You still have two equations to solve
x-1=5 or -(x-1)=5


If you have |x-1|=5x+2, you still have two equations to solve.
Can you tell me what two equations we need to solve?
(When we are done we need to check our answer because 5x+2 isn't always positive)

Answer 2

Well the question asks me "Which are the solutions to |x-1|=5x+2? Check all that apply." Then it gives me the four answer choices being A. 1/6 B. 3/4, 1/6 C.3/4 and D. -1/6? I believe I have to solve both equations just that, I'm confused where to start at.

Answer 3

Well I was trying to get you to provide me with the two equations based off the examples I have given.

Answer 4

Do you not understand the examples?

Answer 5

No I don't understand which ones your talking about.

Answer 6

how about some more examples then.

If you have |2x-5|=4, then you have to solve 2x-5=4 and also have to solve -(2x-5)=4.


because |2x-5|=2x-5 or it could be -(2x-5) depending on the values of x





If you had |5x+1|=2x+3, then you have to solve
5x+1=2x+3
-(5x+1)=2x+3

Answer 7

So if you have |x-1|=5x+2
what two equations do we need to solve?

Answer 8

x-1=5x+2 and -x-1=5x+2

Answer 9

yes we have to solve x-1=5x+2
but the other equation you have written is a little off
I think you meant -(x-1)=5x+2


So we have to solve both x-1=5x+2 and -(x-1)=5x+2

Answer 10

Do you know how to solve an equation like x-1=5x+2?

Answer 11

I do but I keep getting a answer that's not on the answer choices.

Answer 12

x-1=5x+2

So what did you do first here?

Answer 13

Add 1 to the other side right?

Answer 14

great
x=5x+3

Answer 15

then

Answer 16

This is where I get confused when you subtract the five is there a one next to the x making it -4?

Answer 17

right so you have -4x=3

Answer 18

Ohh okay so is it -3/4 ?

Answer 19

Yes but when you plug that back in will it work?

Answer 20

And I'm talking about into original problem
|x-1|=5x+2

Answer 21

No it doesn't

Answer 22

ok so we don't have a solution from that equation

what about the other equation
-(x-1)=5x+2

Answer 23

First of all, don't let that negative mess you up, just go ahead and distribute (or multiply it to other side)

You can write it like this
-x+1=5x+2

Answer 24

let me know what you get for x and i will tell you if you did it right

Answer 25

Ohhh okay that's why I got confused I was working ahead and the negative confused me sorry hold on I'll type the answer as soon as I get it.

Answer 26

I got -1/6

Answer 27

great
does it work?

Answer 28

Yes I believe so

Answer 29

Great! There is only one solution to this particular problem, being the x=-1/6

Answer 30

Thank you so much can you help me with other problems too?

Answer 31

i might can get you started but i will be running away from here soon.

Answer 32

thank you what time do you usually get on here?

Answer 33

I don't really have a set time.

Answer 34

I come on when I can.

Answer 35

The ideal length of a particular metal rod is 20.5 cm. The measured length can ideal from the ideal length 0.045. What is the range of the acceptable lengths of the rod?

Answer 36

Its just asking me to write a equation.

Answer 37

I don't understand the second sentence.

Answer 38

sorry let me restate : The measured length may vary from the ideal length by the most 0.045.

Answer 39

so do you agree that we are trying to develop an equation or inequality based off this interval: