+0  
 
0
150
1
avatar

Hello.

I have been having problems with absolute value equations with variables on two sides.

 

(1/2)  | 3x-5 |  = x+1

Guest Jan 15, 2018
 #1
avatar+88891 
+1

(1/2)   l  3x  -  5   l    =  x  + 1

 

Multiply both sides by 2

 

l 3x  -  5 l  =   2x  + 2

 

We have two equations here

 

3x  -  5     =    2x  +  2                  and           3x  -  5  =   -[ 2x + 2]

 

subtract 2x from both sides                            simplify

add 5 to both sides                                       3x  - 5    =  -2x  -  2

 

x  = 7                                                           add 2x , 5  to both sides

                                  

                                                                             5x  =   3

                                                                        divide both sides by 5

 

                                                                               x  = 3/5

 

So......the solutions  are  x  = 7  and x  = 3/5

 

 

cool cool cool  

CPhill  Jan 15, 2018
edited by CPhill  Jan 15, 2018

19 Online Users

avatar
avatar
avatar

New Privacy Policy

We use cookies to personalise content and advertisements and to analyse access to our website. Furthermore, our partners for online advertising receive information about your use of our website.
For more information: our cookie policy and privacy policy.