Question

can i get an example for a problem of solving an absolute value equation, please?

Answer 1

Hoot! You just asked your first question! Hang tight while I find people to answer it for you. You can thank people who give you good answers by clicking the 'Good Answer' button on the right!

Answer 2

the absolute value of x is 6. so x could be either 6 or -6

Answer 3

\[|x-3|=5\]
\[x-3=5\]
\[x-3=-5\]
\[x-3=5 , x=8\]
\[x-3=-5, x=-2\]

Answer 4

there are two. do you have one you would like to do?

Answer 5

yeah, the |x-3| = 5 one.

Answer 6

the problem is, I don't quite remember how to do the process. Could one help.

Answer 7

just remember when you remove the absolute value signs you have to write two separate equations

Answer 8

this is clear yes? because if i know
\[|x|=78\] then x could be 78 but it could also be -78

Answer 9

yeah, I just looked that up, and it made sense. Now what if there's two variables, like |x-3| = 5, would the answer be, "2 or -2" ?

Answer 10

oh no

Answer 11

what? why?

Answer 12

because if i know |x-3|=5 then what i know is that either x-3=5 or x-3=-5

Answer 13

the solution to the first one is x = 8, not x = 2. the solution to the second one IS x=-2

Answer 14

Ok. I kind of see what you did... Could you give me another one amongst those lines, so I can try it?

Answer 15

sure try |x+3|=7

Answer 16

The answer to the first one should be 4, and the second one, being (|x+3| = -7) would be -10?

Answer 17

yes . got it. write to equations, solve each individually

Answer 18

i meant write TWO equations

Answer 19

Yeah, for sure! (: It's just I'm a bit slow at first, but once I get it, I beast through all of them, lol. Btw, are there any equations like that, with THREE variables?

Answer 20

not usually. do you have one?

Answer 21

No, I just wanted to know so I could be prepared in case I get one of those.

Answer 22

you could have something like this:
|x+2|=2x-5

Answer 23

and how would you solve that?

Answer 24

in which case you still have to write two equations but you have to be very very careful

Answer 25

you would write two equations. one would be:
x+2=2x-5

Answer 26

the other would be:
x+2=-(2x-5)

Answer 27

which of course means
x+2=-2x+5

Answer 28

be careful when you take the negative to remember to put it in parentheses

Answer 29

alright, and so from there, what step is next?

Answer 30

just solve like any linear equation.
\[x+2=2x-5\]
\[2+5=2x-x\]
\[7=x\]

Answer 31

or
\[x+2=-(2x-5)\]
\[x+2=-2x+5\]
\[x+2x=5-2\]
\[3x=3\]
\[x=1\]

Answer 32

OH, OK!

Answer 33

hey do you have time, ? because i have another question...

Answer 34

and btw, thanks a lot.

Answer 35

AWH, no satellite, dont forsake me right now! I got aaaaaa big TEST tomorrow!

Answer 36

one more and then i turn into a pumpkin

Answer 37

what's that mean?

Answer 38

go ahead and ask

Answer 39

never saw or read cinderella?

Answer 40

oh, yeah, aha.... but its only 10:44, doesn't that happen at 12?

Answer 41

eastern standard time

Answer 42

Interesting. Ok, anyways, sorry for delaying your transformation, but could you give me some heads up on solving prequalities?

Answer 43

?? ptequalities?

Answer 44

even spell check doesn't like that

Answer 45

I don't know, the weird lady put one of the subjects we need to study, under "Solving prequaltities and graphing solution." Any ideas?

Answer 46

sorry never heard of them.

Answer 47

google hasn't either so i don't feel bad

Answer 48

Yeah, it doesn't even show up on google. !

Answer 49

Alright, well, you've been of great help! And I appreciate it. Thank you, who ever you are, and have a good one!

Answer 50

gnight.