Question

Which value is an extraneous solution to the equation, |x| = -5x +14
-6
4
6
7
I don't understand this question because I believe three of those numbers are extraneous solutions. Only 4 fits

Answer 1

You will have to different solutions. |x| can mean -x or x
so you would have the following equations where in each you solve for x:

-x = -5x +14 & x = -5x +14 (Do you see the difference?)
(Need more help?)

Answer 2

yes please

Answer 3

Lets go with -x = -5x +14
Add 5x to both sides, can you do that?

Answer 4

-5 = -5(5) + 14
-5 = -25 + 14
-5 = -11

Answer 5

why are you doing that? Don't plug in numbers add 5x to both sides

-x +5x= -5x +5x +14 right?

Answer 6

then you would get
14= 4x ?

Answer 7

Yes and if you plug that into your original equation, does that work or not?

Answer 8

I mean x=14/4

Answer 9

Plug it in and tell me what you think

Answer 10

no

Answer 11

So it is not extraneous solution, b/c it does not work

sets work the second choice x = -5x +14

Answer 12

you would get a decimal

Answer 13

yes, and in any case w/ a second choice you would also, just by looking at it I know that none of your choices are right!

Answer 14

x = -5x +14

add 5x to both sides, what do you get for x?

Answer 15

6x= 14

14/6 +2.3333

Answer 16

I don't understand where this is going. How do I plug in the answers above.

Answer 17

|x| = -5x +14
-6
4
6
7

|-6| = -5(-6) +14
6= 30 +14

|4| = -5(4) +14
4=-6

|6| = -5(6) +14
6=-16

|7| = -5(7) +14
7= -35+14
7=-21

None of them work, right?

Answer 18

@hottiewithabody, if you plug 14/6 you will see that it works perfectly.