Question

Solve the equation. Check for extraneous solutions. 2|7-7x| = 2x+4

Answer 1

divide be 2 first to get the absolute by itself

Answer 2

What do I divide? the 7 by 2?

Answer 3

divide the left side by 2 and teh right side by 2. This will get rid of the 2 on the left and simplify the right

Answer 4

\[\left| 7-7x \right|=x+2\]

Answer 5

And then do I cancel the x's out?

Answer 6

7-7x is the agruement and it can equal +(x+2) or -(x+2)

Answer 7

not yet..

Answer 8

Do you understand my statement just now

Answer 9

I kinda do, a little bit is still confusing

Answer 10

what is inside the absolute value symbol whether positive or negative comes out positive right?

Answer 11

so the expression is saying that whatever 7-7x is it can be the positive or negative of x+2

Answer 12

http://www.themathpage.com/alg/absolute-value.htm

Answer 13

So I take 7 & divide it by 2? Sorry I'm a little lost

Answer 14

you need to set 7-7x=x+2 and solve for x as well as set 7-7x=-x-2 and solve for x

Answer 15

This gets you both of your solutions

Answer 16

treat the absolute value signs as ( )

Answer 17

Would it be 3/2 & 5/8?

Answer 18

\[\frac{ 2\left| 7-7x \right| }{ 2 }=\frac{ 2x+4 }{ 2 }\]

Answer 19

see how the 2 cancels from the left and the right becomes x+2??

Answer 20

I havent solved it yet, hold on

Answer 21

ya I got the same

Answer 22

Alright I think I got the hang of it now thanks! (=

Answer 23

yup